Certain Feynman Type Integrals Involving the generalized k-Mittag-Leffler function and General Class of Polynomials

Applicable Analysis and Discrete Mathematics

article

Themistocles M. Rassias¹  Praveen Agarwal²  Sugandh Rani²  Mehar Chand³ 

[1] Anand International College of Engineering Jaipur-303012;Department of Mathematics, Baba Farid College;Department of Mathematics, National Technical University of Athens Athens

关键词: Feynman Integrals;    Pochhammer symbol;    Lagurre Polynomials;    general class of polynomials;    generalized k-Mittag-Leffler function;   

DOI  :  10.2298/AADM190326031A

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In the present paper, certain Feynman type integrals involving the generalizedk-Mittag-Leffler function and the general class of polynomials are establishedand further extended these results involving Laguerre polynomials. On account of the most general nature of the functions involved therein, our mainfindings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the generalized k-Mittag-Lefflerfunction, and the Laguerre polynomials as their special cases.

【 授权许可】

Unknown