Characterization properties for starlike and convex functions involving a class of fractional integral operators
R. K. Raina, Mamta Bolia (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On certain multidimensional generalized Kober operators.”
Characterization properties for starlike and convex functions involving a class of fractional integral operators
Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities
I. Gil’, Michael (2009)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 47A56, 47A57,47A63 We derive bounds for the norms of the fractional powers of operators with compact Hermitian components, and operators having compact inverses in a separable Hilbert space. Moreover, for these operators, as well as for dissipative operators, the constants in the moment inequalities are established. * This research was supported by the Kamea Fund of Israel.
Theorem for Series in Three-Parameter Mittag-Leffler Function
Soubhia, Ana, Camargo, Rubens, Oliveira, Edmundo, Vaz, Jayme (2010)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification 2010: 26A33, 33E12. The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.
A new family of functional series relations involving digamma functions
R.K. Raina, R.K. Ladda (1996)
Annales mathématiques Blaise Pascal
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Some remarks on (p,q)-absolutely summing operators in -spaces
S. Kwapień (1968)
Studia Mathematica
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Ultra annihilation and creation operators
Schmeelk, John, Takaci, Arpad (1992)
Portugaliae mathematica
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Inversion formulae to certain integral equations involving H-function
Saxena, Vinod Prakash (1970)
Portugaliae mathematica
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Global approximation by modified Baskakov type operators.
Vijay Gupta (1995)
Publicacions Matemàtiques
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In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.
Generalized Fractional Calculus, Special Functions and Integral Transforms: What is the Relation? Обобщения на дробното смятане, специалните функции и интегралните трансформации: Каква е връзката?
Kiryakova, Virginia (2011)
Union of Bulgarian Mathematicians
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Виржиния С. Кирякова - В този обзор илюстрираме накратко наши приноси към обобщенията на дробното смятане (анализ) като теория на операторите за интегриране и диференциране от произволен (дробен) ред, на класическите специални функции и на интегралните трансформации от лапласов тип. Показано е, че тези три области на анализа са тясно свързани и взаимно индуцират своето възникване и по-нататъшно развитие. За конкретните твърдения, доказателства и примери, вж. Литературата. ...