Characterizations for Certain Subclasses of Starlike and Convex Functions Associated with Lommel, Struve and Bessel Functions

Authors

  • G. D. Shelake Department of Mathematics, Willingdon College, Sangli-416415, Maharashtra, India
  • S. B. Joshi Department of Mathematics, Willingdon College, Sangli-416415, Maharashtra, India
  • N. D. Sangle Department of Mathematics, Willingdon College, Sangli-416415, Maharashtra, India

DOI:

https://doi.org/10.3126/njmathsci.v3i1.44129

Keywords:

Analytic function, Starlike function, Hypergeometric functions, Struve function, Lommel function, Bessel Function

Abstract

In this paper we have determined some necessary and sufficient conditions of normalized Lommel function sμ,v, Struve function hv and Bessel function jv of the first kind to be in the subclasses S(α, β, γ) and K(α, β, γ) of starlike and convex functions of order α and type β, γ, in the unit disk U.

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Published

2022-08-31

How to Cite

Shelake, G. D., Joshi, S. B., & Sangle, N. D. (2022). Characterizations for Certain Subclasses of Starlike and Convex Functions Associated with Lommel, Struve and Bessel Functions. Nepal Journal of Mathematical Sciences, 3(1), 101–110. https://doi.org/10.3126/njmathsci.v3i1.44129

Issue

Vol. 3 No. 1 (2022)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University