Inclusion properties for certain subclasses of analytic functions defined by using the generalized Bessel functions

H. M. Srivastava; K. A. Selvakumaran; S. D. Purohit

doi:10.26637/mjm303/015

Abstract

By making use of the operator $B_\nu^c$ defined by the generalized Bessel functions of the first kind, the authors introduce and investigate several new subclasses of starlike, convex, close-to-convex and quasi-convex functions. The authors establish inclusion relationships associated with the aforementioned operator. Some interesting corollaries and consequences of the main inclusion relationships are also considered.

Keywords:

Analytic functions, Starlike functions, Convex functions, Close-to-convex functions, Quasi-convex functions, Generalized Bessel functions

Mathematics Subject Classification:

30C45, 33C10, 33C90

Authors Imprint References Funding Related Articles Downloads

H. M. Srivastava Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada. https://orcid.org/0000-0002-9277-8092
K. A. Selvakumaran Deptartment of Mathematics, R. M. K College of Engineering and Technology, Puduvoyal 601206, Tamil Nadu, India. https://orcid.org/0000-0002-2140-5088
S. D. Purohit Department of Basic Sciences (Mathematics), College of Tech. and Engg., M. P. University of Agriculture and Technology, Udaipur 313001, Rajasthan, India.

Pages: 360-367
Date Published: 01-07-2015
Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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