A sequence involving an extended Struve function via a differential operator
Author(s) -
Butta Singh,
Praveen Agarwal,
Junesang Choi
Publication year - 2020
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.42166
Subject(s) - sequence (biology) , mathematics , struve function , differential operator , operator (biology) , function (biology) , simple (philosophy) , differential (mechanical device) , generating function , pure mathematics , combinatorics , physics , classical orthogonal polynomials , biochemistry , chemistry , genetics , gegenbauer polynomials , philosophy , epistemology , repressor , evolutionary biology , gene , transcription factor , orthogonal polynomials , biology , thermodynamics
Various extensions of the Struve function have been presented and investigated. Here we aim to introduce an extended Struve function involving the k-gamma function. Then, by using a known differential operator, we introduce a sequence of functions associated with the above introduced extended Struve function and investigate its properties such as generating relations and a finite summation formula. The results presented here, being very general, are also pointed out to yield a number of relatively simple identities.
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