Convergence Aspects for Generalizations of q-Hypergeometric Functions

Axioms

Thomas Ernst¹ 

[1] Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden; E-Mail

关键词: q-Stirling formula;    even number of variables;    Nova q-addition;    inequality;   

DOI  :  10.3390/axioms4020134

来源: mdpi

【 摘 要 】

In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric functions of -function and the q-binomial coefficients, which are used in the proofs, are adjusted accordingly. Furthermore, limits and special cases for the new functions, e.g., q-Lauricella functions and q-Horn functions, are pointed out.

【 授权许可】

CC BY   
© 2015 by the author; licensee MDPI, Basel, Switzerland.