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Very recently, Mubeen, et al.~\cite{5} have obtained fifteen contiguous function relations for $k$-hypergeometric functions with one parameter by the same technique developed by Gauss. The aim of this paper is to obtain seventy-two new and interesting contiguous function relations for $k$-hypergeometric functions with two parameters. Obviously, for $k\rightarrow 1$ we recover the results obtained by Cho, et al.~\cite{2} and Rakha, et al.~\cite{7}.
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참고문헌 (8)
참고문헌 신청
G. E. Andrews / 1999 / Special Functions / Cambridge University Press
Y. J. Cho / 1999 / A note on contiguous function relations / East Asian Math. J 15(1):29~38
C. Diaz / 2007 / On hypergeometric functions and Pochhammer k-symbol / Divulg. Math 15(2):179~192
C. F. Gauss / 1876 / Disquisitiones generales circa seriem infinitam / Werke 3:123~162
M. Mansour / 2009 / Determining the k-generalized gamma function (x) by functional equa-tions / Int. J. Contemp. Math. Sci 4(21-24):1037~1042
Y. J. Cho / 1999 / A note on contiguous function relations / East Asian Math. J 15(1):29~38
C. Diaz / 2007 / On hypergeometric functions and Pochhammer k-symbol / Divulg. Math 15(2):179~192
C. F. Gauss / 1876 / Disquisitiones generales circa seriem infinitam / Werke 3:123~162
M. Mansour / 2009 / Determining the k-generalized gamma function (x) by functional equa-tions / Int. J. Contemp. Math. Sci 4(21-24):1037~1042
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