-
1
-
-
0004245694
-
-
Tenth Printing, National Bureau of Standards, Applied Mathematics Series 55, Washington, DC
-
M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Tenth Printing, National Bureau of Standards, Applied Mathematics Series 55, Washington, DC, 1972.
-
(1972)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
2
-
-
84972529289
-
On the Lerch zeta function
-
T.M. Apostol On the Lerch zeta function Pacific J. Math. 1 1951 161 167
-
(1951)
Pacific J. Math.
, vol.1
, pp. 161-167
-
-
Apostol, T.M.1
-
4
-
-
75449093299
-
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
-
K.N. Boyadzhiev Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials Adv. Appl. Discrete Math. 1 2 2008 109 122
-
(2008)
Adv. Appl. Discrete Math.
, vol.1
, Issue.2
, pp. 109-122
-
-
Boyadzhiev, K.N.1
-
5
-
-
33947116584
-
Some results on q-analogue of the Lerch zeta function
-
M. Cenkci, and M. Can Some results on q-analogue of the Lerch zeta function Adv. Stud. Contemp. Math. 12 2006 213 223
-
(2006)
Adv. Stud. Contemp. Math.
, vol.12
, pp. 213-223
-
-
Cenkci, M.1
Can, M.2
-
7
-
-
42649116806
-
Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n and the multiple Hurwitz zeta function
-
J. Choi, P.J. Anderson, and H.M. Srivastava Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n and the multiple Hurwitz zeta function Appl. Math. Comput. 199 2008 723 737
-
(2008)
Appl. Math. Comput.
, vol.199
, pp. 723-737
-
-
Choi, J.1
Anderson, P.J.2
Srivastava, H.M.3
-
8
-
-
69249216343
-
Carlitz's q-Bernoulli and q-Euler numbers and polynomials and a class of q-Hurwitz zeta functions
-
J. Choi, P.J. Anderson, and H.M. Srivastava Carlitz's q-Bernoulli and q-Euler numbers and polynomials and a class of q-Hurwitz zeta functions Appl. Math. Comput. 215 2009 1185 1208
-
(2009)
Appl. Math. Comput.
, vol.215
, pp. 1185-1208
-
-
Choi, J.1
Anderson, P.J.2
Srivastava, H.M.3
-
10
-
-
75049084511
-
New formulae for the Bernoulli and Euler polynomials at rational arguments
-
D. Cvijović, and J. Klinowski New formulae for the Bernoulli and Euler polynomials at rational arguments Proc. Amer. Math. Soc. 123 1995 1527 1535
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, pp. 1527-1535
-
-
Cvijović, D.1
Klinowski, J.2
-
11
-
-
33749589040
-
Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions
-
M. Garg, K. Jain, and H.M. Srivastava Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions Integral Transforms Spec. Funct. 17 2006 803 815
-
(2006)
Integral Transforms Spec. Funct.
, vol.17
, pp. 803-815
-
-
Garg, M.1
Jain, K.2
Srivastava, H.M.3
-
14
-
-
79251609138
-
Negative order Genocchi polynomials
-
A.F. Horadam Negative order Genocchi polynomials Fibonacci Quart. 30 1992 21 34
-
(1992)
Fibonacci Quart.
, vol.30
, pp. 21-34
-
-
Horadam, A.F.1
-
15
-
-
27144448168
-
Generation of Genocchi polynomials of first order by recurrence relations
-
A.F. Horadam Generation of Genocchi polynomials of first order by recurrence relations Fibonacci Quart. 30 1992 239 243
-
(1992)
Fibonacci Quart.
, vol.30
, pp. 239-243
-
-
Horadam, A.F.1
-
16
-
-
70349205736
-
Interpolation functions of q-extensions of Apostol's type Euler polynomials
-
K.-W. Hwang, Y.-H. Kim, and T. Kim Interpolation functions of q-extensions of Apostol's type Euler polynomials J. Inequal. Appl. 2009 2009 1 12 Article ID 451217
-
(2009)
J. Inequal. Appl.
, vol.2009
, pp. 1-12
-
-
Hwang, K.-W.1
Kim, Y.-H.2
Kim, T.3
-
17
-
-
61449220268
-
On the distribution of the q-Euler polynomials and the q-Genocchi polynomials of higher order
-
L.-C. Jang, and T. Kim On the distribution of the q-Euler polynomials and the q-Genocchi polynomials of higher order J. Inequal. Appl. 2008 2008 1 9 Article ID 723615
-
(2008)
J. Inequal. Appl.
, vol.2008
, pp. 1-9
-
-
Jang, L.-C.1
Kim, T.2
-
18
-
-
33751172538
-
On the q-extension of Euler numbers and Genocchi numbers
-
T. Kim On the q-extension of Euler numbers and Genocchi numbers J. Math. Anal. Appl. 326 2007 1458 1465
-
(2007)
J. Math. Anal. Appl.
, vol.326
, pp. 1458-1465
-
-
Kim, T.1
-
19
-
-
57849089562
-
On the multiple q-Genocchi and Euler numbers
-
T. Kim On the multiple q-Genocchi and Euler numbers Russian J. Math. Phys. 15 2008 481 486
-
(2008)
Russian J. Math. Phys.
, vol.15
, pp. 481-486
-
-
Kim, T.1
-
21
-
-
58149522391
-
On the q-extension of Apostol-Euler numbers and polynomials
-
Y.-H. Kim, W.-J. Kim, and L.-C. Jang On the q-extension of Apostol-Euler numbers and polynomials Abstr. Appl. Anal. 2008 2008 1 10 Article ID 296159
-
(2008)
Abstr. Appl. Anal.
, vol.2008
, pp. 1-10
-
-
Kim, Y.-H.1
Kim, W.-J.2
Jang, L.-C.3
-
22
-
-
77950944052
-
A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials
-
B. Kurt A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials Appl. Math. Sci. (Ruse) 3 2009 2757 2764
-
(2009)
Appl. Math. Sci. (Ruse)
, vol.3
, pp. 2757-2764
-
-
Kurt, B.1
-
23
-
-
77952012578
-
The multiplication formulae for the Genocchi polynomials
-
V. Kurt The multiplication formulae for the Genocchi polynomials Proc. Jangjeon Math. Soc. 13 2010 89 96
-
(2010)
Proc. Jangjeon Math. Soc.
, vol.13
, pp. 89-96
-
-
Kurt, V.1
-
24
-
-
77958572572
-
A new approach to q-Genocchi numbers and polynomials
-
V. Kurt, and M. Cenkci A new approach to q-Genocchi numbers and polynomials Bull. Korean Math. Soc. 47 2010 575 583
-
(2010)
Bull. Korean Math. Soc.
, vol.47
, pp. 575-583
-
-
Kurt, V.1
Cenkci, M.2
-
25
-
-
3042752343
-
Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations
-
S.-D. Lin, and H.M. Srivastava Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations Appl. Math. Comput. 154 2004 725 733
-
(2004)
Appl. Math. Comput.
, vol.154
, pp. 725-733
-
-
Lin, S.-D.1
Srivastava, H.M.2
-
26
-
-
33749664753
-
Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions
-
S.-D. Lin, H.M. Srivastava, and P.-Y. Wang Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions Integral Transforms Spec. Funct. 17 2006 817 827
-
(2006)
Integral Transforms Spec. Funct.
, vol.17
, pp. 817-827
-
-
Lin, S.-D.1
Srivastava, H.M.2
Wang, P.-Y.3
-
27
-
-
67349223315
-
Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
-
H.-M. Liu, and W.-P. Wang Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums Discrete Math. 309 2009 3346 3363
-
(2009)
Discrete Math.
, vol.309
, pp. 3346-3363
-
-
Liu, H.-M.1
Wang, W.-P.2
-
28
-
-
19044397438
-
On the Apostol-Bernoulli polynomials
-
Q.-M. Luo On the Apostol-Bernoulli polynomials Central European J. Math. 2 2004 509 515
-
(2004)
Central European J. Math.
, vol.2
, pp. 509-515
-
-
Luo, Q.-M.1
-
29
-
-
33747419087
-
Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
-
Q.-M. Luo Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions Taiwanese J. Math. 10 2006 917 925
-
(2006)
Taiwanese J. Math.
, vol.10
, pp. 917-925
-
-
Luo, Q.-M.1
-
30
-
-
70349863230
-
Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
-
Q.-M. Luo Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials Math. Comput. 78 2009 2193 2208
-
(2009)
Math. Comput.
, vol.78
, pp. 2193-2208
-
-
Luo, Q.-M.1
-
31
-
-
68949114125
-
The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order
-
Q.-M. Luo The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order Integral Transforms Spec. Funct. 20 2009 377 391
-
(2009)
Integral Transforms Spec. Funct.
, vol.20
, pp. 377-391
-
-
Luo, Q.-M.1
-
32
-
-
59249090149
-
Fourier expansions and integral representations for the Genocchi polynomials
-
Q.-M. Luo Fourier expansions and integral representations for the Genocchi polynomials J. Integer Seq. 12 2009 1 9 Article 09.1.4
-
(2009)
J. Integer Seq.
, vol.12
, pp. 1-9
-
-
Luo, Q.-M.1
-
33
-
-
75749103911
-
Q-Extensions for the Apostol-Genocchi polynomials
-
Q.-M. Luo q-Extensions for the Apostol-Genocchi polynomials Gen. Math. 17 2009 113 125
-
(2009)
Gen. Math.
, vol.17
, pp. 113-125
-
-
Luo, Q.-M.1
-
34
-
-
79551634909
-
Extension for the Genocchi polynomials and its Fourier expansions and integral representations
-
Q.-M. Luo Extension for the Genocchi polynomials and its Fourier expansions and integral representations Osaka J. Math. 48 2 2011
-
(2011)
Osaka J. Math.
, vol.48
, Issue.2
-
-
Luo, Q.-M.1
-
35
-
-
19044388957
-
Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
-
Q.-M. Luo, and H.M. Srivastava Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials J. Math. Anal. Appl. 308 2005 290 302
-
(2005)
J. Math. Anal. Appl.
, vol.308
, pp. 290-302
-
-
Luo, Q.-M.1
Srivastava, H.M.2
-
36
-
-
33745719864
-
Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
-
Q.-M. Luo, and H.M. Srivastava Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials Comput. Math. Appl. 51 2006 631 642
-
(2006)
Comput. Math. Appl.
, vol.51
, pp. 631-642
-
-
Luo, Q.-M.1
Srivastava, H.M.2
-
38
-
-
78049294653
-
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
-
H. Ozden, Y. Simsek, and H.M. Srivastava A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials Comput. Math. Appl. 60 2010 2779 2787
-
(2010)
Comput. Math. Appl.
, vol.60
, pp. 2779-2787
-
-
Ozden, H.1
Simsek, Y.2
Srivastava, H.M.3
-
39
-
-
75449101143
-
Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials
-
M. Prévost Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials J. Comput. Appl. Math. 233 2010 3005 3017
-
(2010)
J. Comput. Appl. Math.
, vol.233
, pp. 3005-3017
-
-
Prévost, M.1
-
41
-
-
0003863948
-
-
Kluwer Academic Publishers Dordrecht, Boston and London
-
J. Sándor, and B. Crstici Handbook of Number Theory vol. II 2004 Kluwer Academic Publishers Dordrecht, Boston and London
-
(2004)
Handbook of Number Theory
, vol.2
-
-
Sándor, J.1
Crstici, B.2
-
42
-
-
23044520680
-
Some formulas for the Bernoulli and Euler polynomials at rational arguments
-
H.M. Srivastava Some formulas for the Bernoulli and Euler polynomials at rational arguments Math. Proc. Cambridge Philos. Soc. 129 2000 77 84
-
(2000)
Math. Proc. Cambridge Philos. Soc.
, vol.129
, pp. 77-84
-
-
Srivastava, H.M.1
-
44
-
-
1842790483
-
Remarks on some relationships between the Bernoulli and Euler polynomials
-
H.M. Srivastava, and Á. Pintér Remarks on some relationships between the Bernoulli and Euler polynomials Appl. Math. Lett. 17 2004 375 380
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 375-380
-
-
Srivastava, H.M.1
Pintér, Á.2
-
45
-
-
0000381058
-
An explicit formula for the generalized Bernoulli polynomials
-
H.M. Srivastava, and P.G. Todorov An explicit formula for the generalized Bernoulli polynomials J. Math. Anal. Appl. 130 1988 509 513
-
(1988)
J. Math. Anal. Appl.
, vol.130
, pp. 509-513
-
-
Srivastava, H.M.1
Todorov, P.G.2
-
46
-
-
0039642782
-
Une formule simple explicite des nombres de Bernoulli généralisés
-
P.G. Todorov Une formule simple explicite des nombres de Bernoulli généralisés C.R. Acad. Sci. Paris Sér. I Math. 301 1985 665 666
-
(1985)
C.R. Acad. Sci. Paris Sér. i Math.
, vol.301
, pp. 665-666
-
-
Todorov, P.G.1
-
47
-
-
38849106160
-
Some results on the Apostol-Bernoulli and Apostol-Euler polynomials
-
W.-P. Wang, C.-Z. Jia, and T.-M. Wang Some results on the Apostol-Bernoulli and Apostol-Euler polynomials Comput. Math. Appl. 55 2008 1322 1332
-
(2008)
Comput. Math. Appl.
, vol.55
, pp. 1322-1332
-
-
Wang, W.-P.1
Jia, C.-Z.2
Wang, T.-M.3
-
48
-
-
77951017339
-
Some results on power sums and Apostol-type polynomials
-
W.-P. Wang, and W.-W. Wang Some results on power sums and Apostol-type polynomials Integral Transforms Spec. Funct. 21 2010 307 318
-
(2010)
Integral Transforms Spec. Funct.
, vol.21
, pp. 307-318
-
-
Wang, W.-P.1
Wang, W.-W.2
-
49
-
-
0032222377
-
Some identities involving generalized Genocchi polynomials and generalized Fibonacci-Lucas sequences
-
Z.-Z. Zhang, and J.-Y. Jin Some identities involving generalized Genocchi polynomials and generalized Fibonacci-Lucas sequences Fibonacci Quart. 36 1998 329 334
-
(1998)
Fibonacci Quart.
, vol.36
, pp. 329-334
-
-
Zhang, Z.-Z.1
Jin, J.-Y.2
-
50
-
-
55649096851
-
Several identities for the generalized Apostol-Bernoulli polynomials
-
Z.-Z. Zhang, and H.-Q. Yang Several identities for the generalized Apostol-Bernoulli polynomials Comput. Math. Appl. 56 2008 2993 2999
-
(2008)
Comput. Math. Appl.
, vol.56
, pp. 2993-2999
-
-
Zhang, Z.-Z.1
Yang, H.-Q.2
|