-
1
-
-
0004245694
-
-
Reprint of the 1972 edition, Dover, NewYork
-
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Reprint of the 1972 edition, Dover, NewYork, 1992.
-
Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables
, pp. 1992
-
-
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), pp. 161-167.
-
(1951)
Pacific J. Math
, vol.1
, pp. 161-167
-
-
Apostol, T.M.1
-
3
-
-
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 (2) (2008) pp. 723-737.
-
(2008)
Appl. Math. Comput
, vol.199
, Issue.2
, pp. 723-737
-
-
Choi, J.1
Anderson, P.J.2
Srivastava, H.M.3
-
4
-
-
0000587072
-
Stirling's series and Bernoulli numbers
-
E.Y. Deeba and D.M. Rodriguez, Stirling's series and Bernoulli numbers, Amer. Math. Monthly 98 (5) (1991), pp. 423-426.
-
(1991)
Amer. Math. Monthly
, vol.98
, Issue.5
, pp. 423-426
-
-
Deeba, E.Y.1
Rodriguez, D.M.2
-
5
-
-
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 (11) (2006), pp. 803-815.
-
(2006)
Integral Transforms Spec. Funct
, vol.17
, Issue.11
, pp. 803-815
-
-
Garg, M.1
Jain, K.2
Srivastava, H.M.3
-
6
-
-
36348933548
-
Solution to problem E3237
-
I. Gessel, Solution to problem E3237, Amer. Math. Monthly 96 (1989), p. 364.
-
(1989)
Amer. Math. Monthly
, vol.96
, pp. 364
-
-
Gessel, I.1
-
7
-
-
0011371110
-
Applications of a recurrence for the Bernoulli numbers
-
F.T. Howard, Applications of a recurrence for the Bernoulli numbers, J. Number Theory 52 (1) (1995), pp. 157-172.
-
(1995)
J. Number Theory
, vol.52
, Issue.1
, pp. 157-172
-
-
Howard, F.T.1
-
8
-
-
54349090638
-
p for Bernoulli and Euler polynomials
-
p for Bernoulli and Euler polynomials, J. Difference Equ. Appl. 14(12)(2008), pp. 1267-1277.
-
(2008)
J. Difference Equ. Appl
, vol.14
, Issue.12
, pp. 1267-1277
-
-
Kim, T.1
-
9
-
-
67349223315
-
Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
-
H. Liu and W. Wang, Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums, Discrete Math. 309 (10) (2009), pp. 3346-3363.
-
(2009)
Discrete Math
, vol.309
, Issue.10
, pp. 3346-3363
-
-
Liu, H.1
Wang, W.2
-
10
-
-
19044397438
-
On the Apostol-Bernoulli polynomials
-
Q.-M. Luo, On the Apostol-Bernoulli polynomials, Cent. Eur. J. Math. 2 (4) (2004), pp. 509-515.
-
(2004)
Cent. Eur. J. Math
, vol.2
, Issue.4
, pp. 509-515
-
-
Luo, Q.-M.1
-
11
-
-
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(4)(2006), pp. 917-925.
-
(2006)
Taiwanese J. Math
, vol.10
, Issue.4
, pp. 917-925
-
-
Luo, Q.-M.1
-
12
-
-
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 (1) (2005), pp. 290-302.
-
(2005)
J. Math. Anal. Appl
, vol.308
, Issue.1
, pp. 290-302
-
-
Luo, Q.-M.1
Srivastava, H.M.2
-
13
-
-
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 (3-4) (2006), pp. 631-642.
-
(2006)
Comput. Math. Appl
, vol.51
, Issue.3-4
, pp. 631-642
-
-
Luo, Q.-M.1
Srivastava, H.M.2
-
14
-
-
36348967351
-
A symmetry of power sum polynomials and Bernoulli numbers,Amer
-
H.J.H. Tuenter, A symmetry of power sum polynomials and Bernoulli numbers,Amer. Math. Monthly 108 (3) (2001), pp. 258-261.
-
(2001)
Math. Monthly
, vol.108
, Issue.3
, pp. 258-261
-
-
Tuenter, H.J.H.1
-
15
-
-
38849106160
-
Some results on the Apostol-Bernoulli and Apostol-Euler polynomials
-
W. Wang, C. Jia, and T. Wang, Some results on the Apostol-Bernoulli and Apostol-Euler polynomials, Comput. Math. Appl. 55 (6) (2008), pp. 1322-1332.
-
(2008)
Comput. Math. Appl
, vol.55
, Issue.6
, pp. 1322-1332
-
-
Wang, W.1
Jia, C.2
Wang, T.3
-
17
-
-
36349032923
-
An identity of symmetry for the Bernoulli polynomials
-
S.-l. Yang, An identity of symmetry for the Bernoulli polynomials, Discrete Math. 308 (4) (2008), pp. 550-554.
-
(2008)
Discrete Math
, vol.308
, Issue.4
, pp. 550-554
-
-
Yang, S.-L.1
-
18
-
-
39749184773
-
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
-
P.T. Young, Degenerate Bernoulli polynomials, generalized factorial sums, and their applications, J. NumberTheory 128(4)(2008), pp. 738-758.
-
(2008)
J. NumberTheory
, vol.128
, Issue.4
, pp. 738-758
-
-
Young, P.T.1
-
19
-
-
55649096851
-
Several identities for the generalized Apostol-Bernoulli polynomials
-
Z. Zhang and H. Yang, Several identities for the generalized Apostol-Bernoulli polynomials, Comput. Math. Appl. 56(12)(2008), pp. 2993-2999.
-
(2008)
Comput. Math. Appl
, vol.56
, Issue.12
, pp. 2993-2999
-
-
Zhang, Z.1
Yang, H.2
|