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We obtain recursion formulas for $q$-hypergeometric and $q$-Appell series. We also find recursion formulas for the general double $q$-hypergeometric series. It is shown that these recursion relations can be expressed in terms of $q$-derivatives of the respective $q$-hypergeometric series.
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참고문헌 (12)
참고문헌 신청
G. Gasper / 2004 / Basic Hypergeometric Series, Second edition;Encyclopedia of Mathematics and its Applications / Cambridge University Press :96
F. H. Jackson / 1942 / On basic double hypergeometric functions / Quart. J. Math. (Oxford) 13:69~82
S. B. Opps / 2009 / Recursion formulas for Appell's hyperge-ometric function $F_2$ with some applications to radiation field problems / Appl. Math. Comput. 207(2):545~558
E. D. Rainville / 1960 / Special Functions / Chelsea Publishing Company
V. Sahai / 2015 / Recursion formulas for multivariable hypergeometric functions / Asian-Eur. J. Math. 8(4):50
F. H. Jackson / 1942 / On basic double hypergeometric functions / Quart. J. Math. (Oxford) 13:69~82
S. B. Opps / 2009 / Recursion formulas for Appell's hyperge-ometric function
E. D. Rainville / 1960 / Special Functions / Chelsea Publishing Company
V. Sahai / 2015 / Recursion formulas for multivariable hypergeometric functions / Asian-Eur. J. Math. 8(4):50
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