Results 31 to 40 of about 110 (87)
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
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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
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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
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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
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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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Estimate of third Hankel determinant for a subfamily of analytic functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this article, our aim is to study analytic functions related with Salagean operator and associated with the right half of the lemniscate of Bernoulli. We find the estimates of the third Hankel determinant for new family of analytic functions.
Shah Syed Ghoos Ali +4 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
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On differential subordinations for a class of analytic functions defined by a linear operator
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 42, Page 2219-2230, 2004., 2004 We obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.
V. Ravichandran +3 more
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Demonstratio Mathematica, 2023 Let Sγ,A,B∗(D){S}_{\gamma ,A,B}^{\ast }\left({\mathbb{D}}) be the usual class of gg-starlike functions of complex order γ\gamma in the unit disk D={ζ∈C:∣ζ∣
Sima Xiaoying +2 more
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