Results 41 to 50 of about 2,322 (136)
Elementary considerations for classes of meromorphic univalent functions
, 2017 In this article we consider functions $f$ meromorphic in the unit disk. We give an elementary proof for a condition that is sufficient for the univalence of such functions. This condition simplifies and generalizes known conditions.
Brown, André EX +11 more
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On a Class of Analytic Univalent Functions Associated with (H-R) Fractional Derivative
Muthanna Journal of Pure ScienceIn this paper, we introduced a class of analytic functions defined by (H–R) fractional derivative defined in the unit disk, we obtained coefficient bounded, so we obtained some theorems of this class. 2000Mathematics Subject classification: 30C45.
Nidaa Hasan Haji
semanticscholar +1 more source
The Fekete-Szegö functional problems for some subclasses of m-fold symmetric bi-univalent functions
, 2016 In this paper, we introduce several new subclasses of the class of m -fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients |am+1| , |a2m+1| and Fekete-Szegö functional problems for functions in these new ...
Huo Tang +3 more
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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
wiley +1 more source
Meromorphic functions with positive coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 6, Page 319-324, 2004., 2004 Let ∑∗(α, β, k) be a class of meromorphic functions f(z) with positive coefficients in D = {0 < |z| < 1}. The aim of the present note is to prove some properties for the class ∑∗(α, β, k).
Maslina Darus
wiley +1 more source
On a subclass of analytic functions involving harmonic means
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In the present paper, we consider a generalised subclass of analytic functions involving arithmetic, geometric and harmonic means. For this function class we obtain an inclusion result, Fekete-Szegö inequality and coefficient bounds for bi-univalent ...
Tudor Andreea-Elena, Rǎducanu Dorina
doaj +1 more source
On Integral Means for Fractional Calculus Operators of Multivalent Functions [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions.
Owa, Shigeyoshi +2 more
core
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri +2 more
wiley +1 more source
Coefficient estimates for Ruscheweyh derivatives
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1937-1942, 2004., 2004 We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete‐Szegö functional |a3−μa22|.
Maslina Darus, Ajab Akbarally
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On neighborhoods of functions associated with conic domains
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 Let k − ST [A, B], k ≥ 0, −1 ≤ B < A ≤ 1 be the class of normalized analytic functions defined in the open unit disk satisfying ℜ((B−1)zf′(z)f(z)−(A−1)(B+1)zf′(z)f(z)−(A+1))>k|(B−1)zf′(z)f(z)−(A−1)(B+1)zf′(z)f(z)−(A+1)−1|.$$\Re \left( {{{(B - 1){{zf'(z)}
Yağmur Nihat
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