Results 11 to 20 of about 194 (93)
The Approximation Szász-Chlodowsky Type Operators Involving Gould-Hopper Type Polynomials [PDF]
Abstract and Applied Analysis, 2017 We introduce the Szász and Chlodowsky operators based on Gould-Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis.
Behar Baxhaku, Artan Berisha
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A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
Abstract and Applied Analysis, 2012 We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen +2 more
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A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials [PDF]
Journal of Function Spaces and Applications, 2013 We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş +2 more
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Generalizations of the Bernoulli and Appell polynomials [PDF]
Abstract and Applied Analysis, 2004 We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti +2 more
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Monomiality Principle and Eigenfunctions of Differential Operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We apply the so-called monomiality principle in order to construct eigenfunctions for a wide set of ordinary differential operators, relevant to special functions and polynomials, including Bessel functions and generalized Gould-Hopper polynomials.
Isabel Cação, Paolo E. Ricci
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A New Generalization of q-Truncated Polynomials Associated with q-General Polynomials
MathematicsThis article presents the theory of trivariate q-truncated Gould–Hopper polynomials through a generating function approach utilizing q-calculus functions.
Waseem Ahmad Khan +4 more
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MathematicsThis paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan +4 more
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Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials
MathematicsThis manuscript introduces the family of Gould–Hopper–Lambda polynomials and establishes their quasi-monomial properties through the umbral method. This approach serves as a powerful mechanism to analyze the characteristic of multi-variable special ...
Maryam Salem Alatawi
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On Generalized Class of Bell Polynomials Associated with Geometric Applications
AxiomsIn this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi +2 more
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A Family of q-General Bell Polynomials: Construction, Properties and Applications
MathematicsThis paper introduces a new family of q-special polynomials, termed q-general Bell polynomials, and systematically explores their structural and analytical properties.
Mohamed S. Algolam +6 more
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