Om P. Ahuja

Prof. Dr. Om P. Ahuja

Department of Mathematics, Kent State University, Kent, OH 44021-9500, USA
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Research Focus & Metrics

Academic Career Length

20Years (2007-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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28 July 2021 in Iranian Journal of Science and Technology, Transactions A: Science
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OAOm P. Ahuja
Om P. Ahuja
KKKanika Khatter
Kanika Khatter
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19 March 2007 in Integral Transforms and Special Functions
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OAOm P. Ahuja
Om P. Ahuja
Let S Ĥ be the family of all planar harmonic, univalent and sense-preserving mappings f=h+g¯ where h and g are analytic funtions in the open unit disk. The purpose of this article is to investigate connections between the theory of harmonic mappings in the plane and hypergeometric functions by applying certain planar harmonic convolution operators on various subclasses of S Ĥ .

26 September 2018 in Studia Universitatis Babes-Bolyai Matematica
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OAOm P. Ahuja
Om P. Ahuja
SKSushil Kumar
Sushil Kumar
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Applications of first order differential subordination for functions with positive real part

1 January 2020 in Filomat
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OAOm P. Ahuja
Om P. Ahuja
AÇAsena Çetinkaya
Asena Çetinkaya
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 ?.

6 July 2009 in Integral Transforms and Special Functions
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OAOm P. Ahuja
Om P. Ahuja
The object of this article is to study harmonic starlikeness and harmonic convexity of integral operators generated by hypergeometeric series. We also consider special cases of harmonic starlikeness and convexity of integral operators generated by incomplete beta functions.

18 April 2020 in Mathematics
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OAOm P. Ahuja
Om P. Ahuja
SASwati Anand
Swati Anand
NJNAVEEN JAIN
NAVEEN JAIN
The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q-starlike (q-convex) functions of order α . The Bohr radius is also determined for a generalized class of q-Janowski starlike and q-Janowski convex functions with negative coefficients.