-
1
-
-
20244380629
-
Some basic hypergeometric identities
-
Agarwal R.P., Some basic hypergeometric identities. Ann. Soc. Sci. Bruxelles. Ser. I. 67, (1953). 186-202.
-
(1953)
Ann. Soc. Sci. Bruxelles. Ser
, vol.1
, Issue.67
, pp. 186-202
-
-
Agarwal, R.P.1
-
2
-
-
84979326045
-
q-Bernoulli Numbers and Polynomials
-
W.A. Al-Salam, q-Bernoulli Numbers and Polynomials, Math. Nachr. 17 (1959) 239-260.
-
(1959)
Math. Nachr
, vol.17
, pp. 239-260
-
-
Al-Salam, W.A.1
-
3
-
-
0011011707
-
Summations and transformations for basic Appell series
-
Andrews G.E. Summations and transformations for basic Appell series. J. London Math. Soc. (2) 4 (1972), 618-622.
-
(1972)
J. London Math. Soc. (2)
, vol.4
, pp. 618-622
-
-
Andrews, G.E.1
-
4
-
-
0038939876
-
q-analogues of the Watson and Whipple summations
-
Andrews G. E. On q-analogues of the Watson and Whipple summations. SIAM J. Math. Anal. 7 (1976), no. 3, 332-336.
-
(1976)
SIAM J. Math. Anal
, vol.7
, Issue.3
, pp. 332-336
-
-
Andrews, G.E.O.1
-
7
-
-
39049097339
-
-
Appell P. & Kampé de Fériet J. Fonctions hypergéomgétiques et hypersphériques. Paris 1926.
-
Appell P. & Kampé de Fériet J. Fonctions hypergéomgétiques et hypersphériques. Paris 1926.
-
-
-
-
8
-
-
0004209845
-
-
Cambridge, reprinted by Stechert-Hafner, New York, 1964
-
Bailey W.N. Generalized hypergeometric series. Cambridge 1935, reprinted by Stechert-Hafner, New York, 1964.
-
(1935)
Generalized hypergeometric series
-
-
Bailey, W.N.1
-
9
-
-
0010896915
-
Expansions of Appell's double hypergeometric functions
-
Burchnall J.L. & Cbaundy T.W. Expansions of Appell's double hypergeometric functions. Quart. J. Math. Oxford Ser. 11, (1940), 249-270.
-
(1940)
Quart. J. Math. Oxford Ser
, vol.11
, pp. 249-270
-
-
Burchnall, J.L.1
Cbaundy, T.W.2
-
10
-
-
0004552793
-
Expansions of Appell's double hypergeometric functions. II
-
Burchnall J.L. & Cbaundy T.W. Expansions of Appell's double hypergeometric functions. II. Quart. J. Math. Oxford Ser. 12, (1941), 112-128.
-
(1941)
Quart. J. Math. Oxford Ser
, vol.12
, pp. 112-128
-
-
Burchnall, J.L.1
Cbaundy, T.W.2
-
11
-
-
0009282929
-
Expansions of hypergeometric functions
-
Chaundy T.W. Expansions of hypergeometric functions. Quart. J. Math. Oxford Ser. 13, (1942). 159-171.
-
(1942)
Quart. J. Math. Oxford Ser
, vol.13
, pp. 159-171
-
-
Chaundy, T.W.1
-
12
-
-
0001792585
-
An extension of hypergeometric functions. I
-
Chaundy T.W. An extension of hypergeometric functions. I. Quart. J. Math. Oxford Ser. 14, (1943). 55-78.
-
(1943)
Quart. J. Math. Oxford Ser
, vol.14
, pp. 55-78
-
-
Chaundy, T.W.1
-
13
-
-
39049090611
-
-
Chen W.Y.C. & Liu, Zhi-guo, Parameter augmentation for basic hypergeometric series, I. Mathematical essays in honor of Gian-Carlo Rota, 111-129, Birkhäuser 1998.
-
Chen W.Y.C. & Liu, Zhi-guo, Parameter augmentation for basic hypergeometric series, I. Mathematical essays in honor of Gian-Carlo Rota, 111-129, Birkhäuser 1998.
-
-
-
-
15
-
-
39049154011
-
q-Generating functions for one and two variables
-
Ernst T. q-Generating functions for one and two variables, Simon Stevin, 13 no. 1, 2006.
-
(2006)
Simon Stevin
, vol.13
, Issue.1
-
-
Ernst, T.1
-
17
-
-
0242275202
-
A method for q-calculus
-
Ernst T. A method for q-calculus. J. nonlinear Math. Physics 10 Nr.4 (2003), 487-525.
-
(2003)
J. nonlinear Math. Physics
, vol.10
, Issue.4
, pp. 487-525
-
-
Ernst, T.1
-
18
-
-
33744989803
-
Some results for q-functions of many variables
-
Ernst T, Some results for q-functions of many variables. Rendiconti di Padova, 112 (2004), 199-235.
-
(2004)
Rendiconti di Padova
, vol.112
, pp. 199-235
-
-
Ernst, T.1
-
19
-
-
39049116695
-
-
Ernst T, q-Analogues of some operational formulas. U. U. D. M. Report 2004:4
-
Ernst T, q-Analogues of some operational formulas. U. U. D. M. Report 2004:4
-
-
-
-
20
-
-
39049146734
-
-
Ernst T. q-Bernoulli and q-Euler Polynomials, An Umbral Approach. International journal of difference equations 1 no-1 2006, 13-62.
-
Ernst T. q-Bernoulli and q-Euler Polynomials, An Umbral Approach. International journal of difference equations 1 no-1 2006, 13-62.
-
-
-
-
21
-
-
39049142746
-
-
[i#q functions, U. U. D. M. Report 2006,34
-
[i#q functions, U. U. D. M. Report 2006,34
-
-
-
-
25
-
-
39049125277
-
-
Gelfand, I. M. & Graev, M. I. & Retakh, V. S. General hypergeometric systems of equations and series of hypergeometric type. (Russian) Uspekhi Mat. Nauk 47 (1992), no. 4(286), 3-82, 235 translation in Russian Math. Surveys 47 (1992), no. 4, 1-88.
-
Gelfand, I. M. & Graev, M. I. & Retakh, V. S. General hypergeometric systems of equations and series of hypergeometric type. (Russian) Uspekhi Mat. Nauk 47 (1992), no. 4(286), 3-82, 235 translation in Russian Math. Surveys 47 (1992), no. 4, 1-88.
-
-
-
-
26
-
-
39049103535
-
Transformation formulae for hypergeometric series in two variables. II
-
Grosjean C. C. & Sharma, R. K. Transformation formulae for hypergeometric series in two variables. II. Simon Stevin 62 (1988), no. 2, 97-125.
-
(1988)
Simon Stevin
, vol.62
, Issue.2
, pp. 97-125
-
-
Grosjean, C.C.1
Sharma, R.K.2
-
27
-
-
0000243146
-
Beiträge zur Theorie der Heineschen Reffien.
-
Hahn W. Beiträge zur Theorie der Heineschen Reffien. Mathematische Nachrichten 2 (1949) 340-379.
-
(1949)
Mathematische Nachrichten
, vol.2
, pp. 340-379
-
-
Hahn, W.1
-
28
-
-
0010299447
-
Über die Reihe.
-
Heine E. Über die Reihe... J. reine angew. Math. 32, (1846), 210-212.
-
(1846)
J. reine angew. Math
, vol.32
, pp. 210-212
-
-
Heine, E.1
-
30
-
-
39049139015
-
-
Henrici P. Applied and computational complex analysis. 2, Special functions-integral transforms-asymptotics-continued fractions. Reprint of the 1977 orig. New York, Wiley. (1991).
-
Henrici P. Applied and computational complex analysis. Vol. 2, Special functions-integral transforms-asymptotics-continued fractions. Reprint of the 1977 orig. New York, Wiley. (1991).
-
-
-
-
31
-
-
84958736507
-
A basic-sine and cosine with symbolical solution of certain differential equations
-
Jackson F.H. A basic-sine and cosine with symbolical solution of certain differential equations. Proc. Edinburgh math. Soc.22 (1904), 28-39.
-
(1904)
Proc. Edinburgh math. Soc
, vol.22
, pp. 28-39
-
-
Jackson, F.H.1
-
32
-
-
0007190172
-
A q-form of Taylor's theorem
-
Jackson F.H. A q-form of Taylor's theorem. Mess. Math. 38 (1909), 62-64.
-
(1909)
Mess. Math
, vol.38
, pp. 62-64
-
-
Jackson, F.H.1
-
33
-
-
20244382997
-
On basic double hypergeometric functions
-
Jackson F.H. On basic double hypergeometric functions. Quart. J. Math., Oxford Ser. 13 (1942), 69-82.
-
(1942)
Quart. J. Math., Oxford Ser
, vol.13
, pp. 69-82
-
-
Jackson, F.H.1
-
34
-
-
0011610975
-
Basic double hypergeometric functions
-
Jackson F.H. Basic double hypergeometric functions. Quart. J. Math., Oxford Ser. 15 (1944), 49-61.
-
(1944)
Quart. J. Math., Oxford Ser
, vol.15
, pp. 49-61
-
-
Jackson, F.H.1
-
35
-
-
39049173636
-
Some general q-polynomial expansions for functions of several variables and their applications to certain q-orthogonal polynomials and q-Lauricella functions
-
Jain V. K. & Srivastava, H. M. Some general q-polynomial expansions for functions of several variables and their applications to certain q-orthogonal polynomials and q-Lauricella functions. Bull. Soc. Roy. Sci. Liege 58 (1989), no. 1, 13-24.
-
(1989)
Bull. Soc. Roy. Sci. Liege
, vol.58
, Issue.1
, pp. 13-24
-
-
Jain, V.K.1
Srivastava, H.M.2
-
36
-
-
85024460943
-
-
Kaneko M & Kurokawa, N. & Wakayama M. A variation of Euler's approach to values of the Riemann zeta function. Kyushu J. Math. 57 (2003), no. 1, 175-192.
-
Kaneko M & Kurokawa, N. & Wakayama M. A variation of Euler's approach to values of the Riemann zeta function. Kyushu J. Math. 57 (2003), no. 1, 175-192.
-
-
-
-
37
-
-
0036631054
-
q-Volkenborn integration
-
Kim, T. q-Volkenborn integration. Russ. J. Math. Phys. 9 (2002), no. 3, 288-299.
-
(2002)
Russ. J. Math. Phys
, vol.9
, Issue.3
, pp. 288-299
-
-
Kim, T.1
-
38
-
-
34250844418
-
Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on ℤp
-
Kim, T. & Choi, J. Y. & Sug, J. Y. Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on ℤp. Russ. J. Math. Phys. 14 (2007), no. 2, 160-163.
-
(2007)
Russ. J. Math. Phys
, vol.14
, Issue.2
, pp. 160-163
-
-
Kim, T.1
Choi, J.Y.2
Sug, J.Y.3
-
39
-
-
84880641024
-
Über die hypergeometrische Reihe.
-
and
-
Kummer E.E. Über die hypergeometrische Reihe... J. für Math. 15, (1836) 39-83 and 127-172.
-
(1836)
J. für Math
, vol.15
-
-
Kummer, E.E.1
-
40
-
-
39049089189
-
Sopra un procedimento di calcolo analogo alla integrazione. (Italian)
-
Nalli, P. Sopra un procedimento di calcolo analogo alla integrazione. (Italian) Palermo Rend. 47, 337-374 (1923)
-
(1923)
Palermo Rend
, vol.47
, pp. 337-374
-
-
Nalli, P.1
-
41
-
-
39049117108
-
-
Rainville E. D. Special functions. Reprint of 1960 first edition. Chelsea Publishing Co. Bronx, N.Y. 1971.
-
Rainville E. D. Special functions. Reprint of 1960 first edition. Chelsea Publishing Co. Bronx, N.Y. 1971.
-
-
-
-
42
-
-
39049138548
-
Zur Theorie der Heineschen Reihe und ihrer Verallgemeinerung
-
Smith E.R. Zur Theorie der Heineschen Reihe und ihrer Verallgemeinerung. Diss. Univ. München 1911.
-
(1911)
Diss. Univ. München
-
-
Smith, E.R.1
-
43
-
-
0003791753
-
Multiple Gaussian hypergeometric series
-
Mathematics and its Applications. Ellis Horwood Ltd. Chichester; Halsted Press John Wiley & Sons, Inc. New York
-
Srivastava H. M. & Karlsson P.W. Multiple Gaussian hypergeometric series. Ellis Horwood Series, Mathematics and its Applications. Ellis Horwood Ltd. Chichester; Halsted Press John Wiley & Sons, Inc. New York, 1985.
-
(1985)
Ellis Horwood Series
-
-
Srivastava, H.M.1
Karlsson, P.W.2
-
44
-
-
17444396461
-
Some transformations and reduction formulas for multiple q-hypergeometric series
-
Srivastava, H. M. Some transformations and reduction formulas for multiple q-hypergeometric series. Ann. Mat. Pura Appl. (4) 144 (1986), 49-56.
-
(1986)
Ann. Mat. Pura Appl. (4)
, vol.144
, pp. 49-56
-
-
Srivastava, H.M.1
-
45
-
-
0011030664
-
Beiträge zur Theorie der durch die Heinische Reihe .
-
Thomae J. Beiträge zur Theorie der durch die Heinische Reihe .... J. reine angew. Math. 70 (1869), 258-281.
-
(1869)
J. reine angew. Math
, vol.70
, pp. 258-281
-
-
Thomae, J.1
-
46
-
-
39049133058
-
-
Thomae J. Les séries Heinéennes supérieures. Ann Mat. pura appl. Bologna, II s 4 (1871). 105-139.
-
Thomae J. Les séries Heinéennes supérieures. Ann Mat. pura appl. Bologna, II s 4 (1871). 105-139.
-
-
-
-
47
-
-
4644276265
-
Sur la fonction q-gamma de Jackson. (French) [On Jackson's q-gamma function]
-
Zhang C. Sur la fonction q-gamma de Jackson. (French) [On Jackson's q-gamma function] Aequationes Math. 62 (2001), no. 1-2, 60-78.
-
(2001)
Aequationes Math
, vol.62
, Issue.1-2
, pp. 60-78
-
-
Zhang, C.1
-
48
-
-
84972495883
-
Certain expansions of generalised basic hypergeometric functions
-
Verma, A. Certain expansions of generalised basic hypergeometric functions. Duke Math. J. 31 1964 79-90.
-
(1964)
Duke Math. J
, vol.31
, pp. 79-90
-
-
Verma, A.1
-
49
-
-
84968467309
-
Certain expansions of the basic hypergeometric functions
-
Verma A. Certain expansions of the basic hypergeometric functions. Math. Comp. 20 1966 151-157.
-
(1966)
Math. Comp
, vol.20
, pp. 151-157
-
-
Verma, A.1
-
50
-
-
84968503361
-
Expansions involving hypergeometric functions of two variables
-
Verma A. Expansions involving hypergeometric functions of two variables. Math. Comp. 20 (1966) 590-596.
-
(1966)
Math. Comp
, vol.20
, pp. 590-596
-
-
Verma, A.1
-
51
-
-
39049119040
-
A quadratic transformation of a basic hypergeometric series
-
Verma A. A quadratic transformation of a basic hypergeometric series. SIAM J. Math. Anal. 11 (1980), no. 3, 425-427.
-
(1980)
SIAM J. Math. Anal
, vol.11
, Issue.3
, pp. 425-427
-
-
Verma, A.1
-
52
-
-
0009375219
-
A calculus of sequences
-
Ward M. A calculus of sequences. Amer. J. Math. 58 (1936) 255-266.
-
(1936)
Amer. J. Math
, vol.58
, pp. 255-266
-
-
Ward, M.1
|