Summation formulas for Fox-Wright function
Chuanan Wei, Lily Li Liu, Dianxuan Gong
TL;DR
This paper derives new summation formulas for the Fox-Wright function using inversion techniques and hypergeometric identities, leading to novel hypergeometric series identities with specific parameters.
Contribution
It introduces new summation formulas for the Fox-Wright function based on inversion methods and hypergeometric identities, expanding the theoretical understanding of these functions.
Findings
New summation formulas for Fox-Wright function
Derivation of hypergeometric series identities with specific parameters
Application of inversion techniques to hypergeometric functions
Abstract
By means of inversion techniques and several known hypergeometric series identities, summation formulas for Fox-Wright function are explored. They give some new hypergeometric series identities when the parameters are specified.
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Taxonomy
TopicsMathematical functions and polynomials · Scientific Measurement and Uncertainty Evaluation · Iterative Methods for Nonlinear Equations