A Generalized Inverse Binomial Summation Theorem and Some Hypergeometric Transformation Formulas | Zendy

Md Sarowar Morshed | Zendy

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A Generalized Inverse Binomial Summation Theorem and Some Hypergeometric Transformation Formulas

Author(s) -

Md Sarowar Morshed

Publication year - 2016

Publication title -

international journal of combinatorics

Language(s) - English

Resource type - Journals

eISSN - 1687-9171

pISSN - 1687-9163

DOI - 10.1155/2016/4546509

Subject(s) - mathematics , hypergeometric distribution , binomial coefficient , binomial (polynomial) , hypergeometric function , basic hypergeometric series , hypergeometric identity , inverse , transformation (genetics) , gaussian binomial coefficient , class (philosophy) , central binomial coefficient , generalized hypergeometric function , binomial theorem , identity (music) , pure mathematics , discrete mathematics , negative binomial distribution , hypergeometric function of a matrix argument , statistics , computer science , biochemistry , chemistry , geometry , physics , artificial intelligence , gene , acoustics , poisson distribution

A generalized binomial theorem is developed in terms of Bell polynomials and by applying this identity some sums involving inverse binomial coefficient are calculated. A technique is derived for calculating a class of hypergeometric transformation formulas and also some curious series identities.

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