Open AccessCertain Feynman type integrals involving generalized k-Mittag-Leffler function and general class of polynomials
Author(s) -
Praveen Agarwal,
Mehar Chand,
Sugandh Rani,
M Themistocles Rassias
Publication year - 2019
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm190326031a
Subject(s) - laguerre polynomials , mathematics , feynman integral , pure mathematics , class (philosophy) , orthogonal polynomials , classical orthogonal polynomials , generating function , difference polynomials , wilson polynomials , function (biology) , type (biology) , feynman diagram , laguerre's method , special functions , algebra over a field , mathematical analysis , mathematical physics , ecology , artificial intelligence , evolutionary biology , computer science , biology
In the present paper, certain Feynman type integrals involving the generalized k-Mittag-Leffler function and the general class of polynomials are established and further extended these results involving Laguerre polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the generalized k-Mittag-Leffler function, and the Laguerre polynomials as their special cases.