Spiral-like Functions associated with Borel Distribution-Type Mittag-Leffler Function

Mallikarjun G. Shrigan; A. A. Thombare; D. N. Chate; Timilehin G. Shaba

doi:10.5644/SJM.21.01.08

Authors

Mallikarjun G. Shrigan Department of Mathematics, School of Computational Sciences, JSPM University Pune, Pune-412207, India
A. A. Thombare Research Scholar, Department of Mathematics, Swami Ramanand Teerth Marathawada University, Nanded-431606, India
D. N. Chate Department of Mathematics, Sanjeevanee Mahavidyalaya, Chapoli, India
Timilehin G. Shaba Department of Mathematics, Landmark University, Omu-Aran, Nigeria

DOI:

https://doi.org/10.5644/SJM.21.01.08

Keywords:

Analytic function, Borel distribution, Mittag-Leffler function, spiral-like function, convolution

Abstract

The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Borel Distribution-Type Mittag-Leffler Function, to belong to the class of spiral-like univalent functions. Further, we discuss the geometric properties of an integral operator related to the Borel Distribution-type Mittag-Leffler Function. Moreover, we investigated and explored some applications of our main results for the error function.

Statistics

Abstract: 194 / PDF: 50

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