A sequence involving an extended Struve function via a differential operator

abstract: 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.

[1]  Rekha Panda On a new class of polynomials , 1977, Glasgow Mathematical Journal.

[2]  H. W. Gould,et al.  Operational formulas connected with two generalizations of Hermite polynomials , 1962 .

[3]  P. Agarwal,et al.  On new sequence of functions involving the product of F ( α , β ) p ( . ) , 2015 .

[4]  Junesang Choi,et al.  Certain inequalities involving the k-Struve function , 2016, Journal of inequalities and applications.

[5]  I︠u︡. A Brychkov Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas , 2008 .

[6]  A. M. Chak,et al.  A class of polynomials and a generalization of Stirling numbers , 1956 .

[7]  J. Prajapati,et al.  ON SOME PROPERTIES OF A CLASS OF POLYNOMIALS SUGGESTED BY MITTAL , 2007 .

[8]  K. Nisar,et al.  Generalized fractional kinetic equations involving generalized Struve function of the first kind , 2016 .

[9]  S. K. Chatterjea,et al.  A generalization of Laguerre polynomials , 1963 .

[10]  P. Agarwal,et al.  Graphical Interpretation of the New Sequence of Functions Involving Mittage-Leffler Function Using Matlab , 2013 .

[11]  Some integrals involving generalized k-Struve functions , 2016, 1612.08264.

[12]  K. Nisar,et al.  MONOTONICITY PROPERTIES OF THE GENERALIZED STRUVE FUNCTIONS , 2017 .

[13]  Halit Orhan,et al.  Starlikeness and Convexity of Generalized Struve Functions , 2013 .

[14]  P. Agarwal,et al.  A Study on New Sequence of Functions Involving -Function , 2014 .

[15]  P. Agarwal,et al.  A certain sequence of functions involving the Aleph function , 2016 .

[16]  H. Srivastava,et al.  Zeta and q-Zeta Functions and Associated Series and Integrals , 2011 .

[17]  H. Srivastava,et al.  A class of polynomials defined by generalized Rodrigues’ formula , 1971 .

[18]  Halit Orhan,et al.  Geometric Properties of Generalized Struve Functions , 2014 .