Results 31 to 40 of about 2,203,972 (289)
q-Derivatives of Multivariable q-Hypergeometric Function with Respect to Their Parameters [PDF]
Physics of Particles and Nuclei Letters, 2021 We consider the q-derivatives of the Srivastava and Daoust basic multivariable hypergeometric function with respect to the parameters. This function embodies a entire number of various q-hypergeometric series of one and several variables. Explicit equations are given for general case of summation indexes with positive real coefficients.
Bytev, V., Zhang, Pengming
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On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative [PDF]
, 2021 This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus.
S. Shaimardan +3 more
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ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS [PDF]
International Journal of Number Theory, 2013 Using a general q-series expansion, we derive some nontrivial q-formulas involving many infinite products. A multitude of Hecke-type series identities are derived. Some general formulas for sums of any number of squares are given. A new representation for the generating function for sums of three triangular numbers is derived, which is slightly ...
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Approach of $q$-Derivative Operators to Terminating $q$-Series Formulae [PDF]
, 2018 summary:The $q$-derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric ...
Wang, Xiaoyuan, Chu, Wenchang
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The Cauchy problems for q-difference equations with the Caputo fractional derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2022 The fractional differential equations play important roles due to their numerous applications and also for the important role they play not only in mathematics but also in other sciences.
S. Shaimardan +2 more
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The q-derivative and differential equation
Journal of Physics: Conference Series, 2019 Abstract The q-calculus appeared as a connection between mathematics and physics. It has several applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics.
Haydar Akça +2 more
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Expansion formulas for q-Hypergeometric and I q -functions: An application of the q-Leibniz rule [PDF]
Mathematics and Computational SciencesIn this paper, we develop novel expansion formulas for the product of the basic analogue of the hypergeometric function and the Iq-function. Applying the q-Leibniz rule to the q-Riemann-Liouville and q-Weyl fractional derivative operators, we have found ...
D.L. Suthar +2 more
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SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020 In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.
Nanjundan Magesh +2 more
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Coefficient inequalities for classes of univalent functions defined by q derivatives
Boletim da Sociedade Paranaense de Matemática, 2022 Using the principal of subordination and the qderivative, we obtain sharp bounds for some classes of univalent functions.
M. K. Aouf, Adela O. Mostafa, N. E. Cho
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, 2021 Il testo propone alcuni esercizi su derivate e q-derivate. La q-derivazione, che appartiene al q-calcolo, diventa quella ordinaria al limite per il parametro q tendente a 1. Le appendici sono dedicate alle derivate ordinarie.
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