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Agarwal, P. and Chand, M., Graphical Interpretation of the New Sequence of Functions Involving Mittage-Leffler Function Using Matlab, American Journal of Mathematics and Statistics 2013, 3(2): 73-83.

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Article

A Study on New Sequence of Functions Involving -Function

1Department of Mathematics, Anand International College of Engineering, Jaipur, India

2Department of Mathematics, Fateh College for Women, RampuraPhul, Bathinda, India

3Department of Mathematics, Suresh Gyan Vihar University, Jaipur, India


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 1, 34-39
DOI: 10.12691/ajams-2-1-6
Copyright © 2014 Science and Education Publishing

Cite this paper:
Praveen Agarwal, Mehar Chand, Saket Dwivedi. A Study on New Sequence of Functions Involving -Function. American Journal of Applied Mathematics and Statistics. 2014; 2(1):34-39. doi: 10.12691/ajams-2-1-6.

Correspondence to: Praveen  Agarwal, Department of Mathematics, Anand International College of Engineering, Jaipur, India. Email: goyal.praveen2011@gmail.com

Abstract

A remarkably large number of operational techniques have drawn the attention of several researchers in the study of sequence of functions and polynomials. Very recently, Agarwal and Chand gave certain new sequence of functions involving the special functions in their series of papers. In this sequel, here, we aim to introduce a new sequence of functions involving the Generalized Mellin-Barnes Type of Contour Integrals by using operational techniques. Some generating relations and finite summation formulae of the sequence presented here are also considered. These generating relations and finite summation formulae are unified in nature and act as key formulae from which, we can obtain as their special cases.

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