Results 11 to 20 of about 158,926 (265)
A new generalization of Mittag-Leffler function via q-calculus
Advances in Difference Equations, 2020 The present paper deals with a new different generalization of the Mittag-Leffler function through q-calculus. We then investigate its remarkable properties like convergence, recurrence relation, integral representation, q-derivative formula, q-Laplace ...
Raghib Nadeem +3 more
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On $\Q$-Derived Polynomials [PDF]
Rocky Mountain Journal of Mathematics, 2006 A -derived polynomial is a univariate polynomial, defined over the rationals, with the property that its zeros, and those of all its derivatives are rational numbers. There is a conjecture that says that -derived polynomials of degree 4 with distinct roots for themselves and all their derivatives do not exist.
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NEW SUBCLASS OF MEROMORPHIC FUNCTIONS BY THE GENERALIZATION OF THE q-DERIVATIVE OPERATOR [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this paper, we introduce a new class of meromorphic functions, using the exponent $ q $-derivative operator, and then look at it coefficient estimates, extreme points, convex linear combination, Radii of starlikeness, convexity and finally partial sum property are investigated.
Golmohammadi, Mohammad Hassn +2 more
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The Q-Time Deformed Wave Equation
Journal of Mathematics, 2022 For q∈0,1, we introduce the q-time deformed wave equation; using the q-derivative, the solution of the q-time deformed wave equation is given. Also, we introduce the free-time wave equation which is a limit case q⟶0 of the q-time deformed wave equation.
Al-Nashri Al-Hossain Ahmad +1 more
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A Note on the q-Derivative Operator
Journal of Mathematical Analysis and Applications, 1993 We prove a formula for the nth power of the q-derivative operator at x=0 for every function whose nth derivative at x=0 exists. We give a proof in both the real variable and the complex variable case.
Koekoek, J., Koekoek, R.
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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 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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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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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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