Results 11 to 20 of about 6,192,333 (278)

Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator

open access: yesMathematics, 2022
In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using convolution product relations we determine necessary and sufficient conditions for multivalent ...
Ekram Elsayed Ali   +3 more
doaj   +1 more source

SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR

open access: yesПроблемы анализа, 2021
In this paper, we establish several differential subordinations regarding the operator 𝐷^(−𝜆)_𝑧 𝑆𝑅^(𝑚,𝑛) defined using the fractional integral of the differential operator 𝑆𝑅^(𝑚,𝑛), obtained as a convolution product of Salagean operator 𝑆^𝑚 and ...
A. Alb Lupaş
doaj   +1 more source

Caputo Fractional Evolution Equations in Discrete Sequences Spaces

open access: yesFoundations, 2022
In this paper, we treat some fractional differential equations on the sequence Lebesgue spaces ℓp(N0) with p≥1. The Caputo fractional calculus extends the usual derivation.
Alejandro Mahillo, Pedro J. Miana
doaj   +1 more source

Geometric distribution series connected with certain subclasses of univalent functions [PDF]

open access: yesSurveys in Mathematics and its Applications, 2023
In this paper, we consider the class of normalized analytic functions of the form f(z)=z+∑n=2∞ anzn. Following this functions, we define the functions whose coefficients are probabilities of the geometric distribution series and other special modes of ...
M. Taliyan, Sh. Najafzadeh, M. R. Azimi
doaj  

Convolutions generated by the dirichlet problem of the sturm-liouville operator

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
This paper is devoted to approximations of the product of two continuous functions on a finite segment by some special convolutions. The accuracy of the approximation depends on the length of the segment on which the functions are defined.
Sh. A. Mukhamedmoldina   +3 more
doaj   +1 more source

On the product formula and convolution associated with the index Whittaker transform [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2018
We deduce a product formula for the Whittaker function W κ , μ whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving convolution operator associated with the index Whittaker transform, which
Rúben Sousa, M. Guerra, S. Yakubovich
semanticscholar   +1 more source

The neutrix convolution product [PDF]

open access: yesIntegral Transforms and Special Functions, 1998
The commutative neutrix convolution product is evaluated for r,s = 0,1,2, …, λ μ ≠ −1, −2, … and λ + μ ≠ 0, ±1, ±2, ….
Brian Fisher   +2 more
openaire   +1 more source

On the long tail property of product convolution [PDF]

open access: yesLithuanian Mathematical Journal, 2019
Let X and Y be two independent random variables with corresponding distributions F and G on [0 ,∞ ). The distribution of the product XY , which is called the product convolution of F and G , is denoted by H .
Zhaolei Cui, Yuebao Wang
semanticscholar   +1 more source

The Convolution Theorem Involving Windowed Free Metaplectic Transform

open access: yesFractal and Fractional, 2023
The convolution product is widely used in many fields, such as signal processing, numerical analysis and so on; however, the convolution theorem in the domain of the windowed metaplectic transformation (WFMT) has not been studied.
Manjun Cui, Zhichao Zhang
doaj   +1 more source

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

open access: yesMathematics, 2020
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby   +2 more
doaj   +1 more source

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