Publication: Connecting Quantum Calculus and Harmonic Starlike Functions
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Date
2020
Authors
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Journal ISSN
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Publisher
Univ Nis.
Abstract
Quantum calculus or q-calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others. But role of q-calculus in the theory of harmonic univalent functions is quite new. In this paper, we make an attempt to connect quantum calculus and harmonic univalent starlike functions. In particular, we introduce and investigate the properties of q-harmonic functions and q-harmonic starlike functions of order alpha.
Description
Keywords
Quantum Calculus, q-difference Operator, q-derivative Operator, q-calculus, q-harmonic Function, q-harmonic Starlike Function of Order Alpha, Starlike Functions, Analytic Functions, Convolution
Citation
Ahuja, O. P., & Çetinkaya, A. (2020). Connecting quantum calculus and harmonic starlike functions. Filomat, 34(5), 1431-1441.