Coefficient Bounds for Symmetric Subclasses of q-Convolution-Related Analytical Functions

Author:

El-Deeb Sheza M.1ORCID,Cotîrlă Luminita-Ioana2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

2. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

By using q-convolution, we determine the coefficient bounds for certain symmetric subclasses of analytic functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler-type differential equation of order m.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference21 articles.

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2. Starlike function of complex order;Nasr;J. Natur. Sci. Math.,1985

3. On the coefficients of some family of holomorphic functions;Waitrowski;Zeszyty Nauk. Univ. Lodzk. Nauk. Math. Przyrod. Ser. II Zeszyt Math.,1971

4. On q-functions and a certain difference Operator;Jackson;Trans. R. Soc. Edinb.,1909

5. On q-definite integrals;Jackson;Quart. J. Pure Appl. Math.,1910

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