Results 61 to 70 of about 63,681 (326)
Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions
MathematicsIn this article, we first consider the fractional q-differential operator and the λ,q-fractional differintegral operator Dqλ:A→A. Using the λ,q-fractional differintegral operator, we define two new subclasses of analytic functions: the subclass S*q,β,λ ...
Zeya Jia +5 more
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Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions
Mathematics, 2019 The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied.
Shahid Mahmood +3 more
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Logarithmic coefficients for certain subclasses of close-to-convex functions [PDF]
, 2016 Let $$\mathcal {S}$$S denote the class of functions analytic and univalent (i.e. one-to-one) in the unit disk $$\mathbb {D}=\{z\in \mathbb {C}:\, |z|0 ~ \text{ resp.
U. Pranav Kumar, A. Vasudevarao
semanticscholar +1 more source
A class of strongly close-to-convex functions
Boletim da Sociedade Paranaense de Matemática, 2019 In this paper, we study a class of strongly close-to-convex functions $f(z)$ analytic in the unit disk $\mathbb{U}$ with $f(0)=0,f^{\prime }(0)=1$ satisfying for some convex function $g(z)$ the condition that\begin{equation*}\frac{zf^{\prime }(z)}{g(z ...
R. K. Raina, Poonam Sharma, J. Sokół
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Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions
AxiomsNew subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh +5 more
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Estimate for Schwarzian derivative of certain close-to-convex functions
AIMS Mathematics, 2021 Let $ f(z) $ be analytic in the unit disk with $ f(0) = f'(0)-1 = 0 $. For the following close-to-convex subclasses: $ \Re \{(1-z)f'(z)\} > 0, $ $ \Re \{(1-z^{2})f'(z)\} > 0, $ $ \Re \{(1-z+z^{2})f'(z)\} > 0 $ and $ \Re \{(1-z)^{2}f'(z)\} > ...
Zhenyong Hu, Xiaoyuan Wang , Jinhua Fan
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Radius of convexity of partial sums of odd functions in the close-to-convex family [PDF]
, 2016 We consider the class of all analytic and locally univalent functions $f$ of the form $f(z)=z+\sum_{n=2}^\infty a_{2n-1} z^{2n-1}$, $|z| -\frac{1}{2}. $$ We show that every section $s_{2n-1}(z)=z+\sum_{k=2}^na_{2k-1}z^{2k-1}$, of $f$, is convex in the ...
Sarita Agrawal, S. Sahoo
semanticscholar +1 more source
Molecular Oncology, EarlyView.Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
wiley +1 more source
Insights Into the Antigenic Repertoire of Unclassified Synaptic Antibodies
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective We sought to characterize the sixth most common finding in our neuroimmunological laboratory practice (tissue assay‐observed unclassified neural antibodies [UNAs]), combining protein microarray and phage immunoprecipitation sequencing (PhIP‐Seq). Methods Patient specimens (258; 133 serums; 125 CSF) meeting UNA criteria were profiled;
Michael Gilligan +22 more
wiley +1 more source
Fractal and Fractional, 2019 In the present research paper, our aim is to introduce a new subfamily of p-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.
Shahid Mahmood +4 more
doaj +1 more source