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Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative
AbstractPartial solutions with a singularity which are expressed in terms of the Wright functions for equations with Riemann–Liouville fractional...
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Special Functions of Hydropneumatic Suspension Systems
UndoubtedlyHydropneumatic suspension systemsspecial functions aHydropneumatic suspension systemsspecial functionssuspension lockout \b...
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Derivations and Special Functions Over Fields
Derivations play an integral role in the calculus and analysis; however, they have an algebraic exposition too. This algebraic notion has now become...
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Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions
The core purpose of this work is the investigation, formulation and develop a mathematical model by dint of a new fractional modeling approach namely...
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A few special problems of meromorphic functions share values in part with their shifts and derivatives
This article examines several uniqueness theorems for non-constant meromorphic functions of hyper-order strictly less than 1, whose k -th derivatives...
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Ferrers Functions of Arbitrary Degree and Order and Related Functions
Numerous novel integral and series representations for Ferrers functions of the first kind (associated Legendre functions on the cut) of arbitrary...
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On the exact analytical formula for dimensionless injection rate in CO2 storage based on Special Trans Functions Theory
In this article, Special Trans Functions Theory (STFT) is used to obtain exact solutions of the transcendental equation that describes Dimensionless...
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Classification of quantum systems with position-dependent effective mass based on lie algebra and special functions
Considering the position-dependent effective mass in the study of quantum mechanical systems, a wide range of solvable potentials has been obtained....
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Integrals of Special Functions and Umbral Methods
We derive integrals of combination of Gauss and Bessel functions, by the use of umbral techniques. We show that the method allows the possibility of...
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Short-time special affine Fourier transform for quaternion-valued functions
The special affine Fourier transform is a promising tool for analyzing transient signals with more degrees of freedom via a chirp-like basis. In this...
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Approximation of Mathieu Functions by Parabolic Cylinder Functions
AbstractThe Mathieu equation with complex coefficients of a special form is considered. Simple nonuniform asymptotics of its solutions in terms of...
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Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are...
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Functions
This chapter focuses on the most underused and misused features of PostgreSQL, objects—functions. Since all modern programming languages include...
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New Computational Formulas for Special Numbers and Polynomials Derived from Applying Trigonometric Functions to Generating Functions
The aim of this paper is to apply trigonometric functions with functional equations of generating functions. Using the resulted new equations and...
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Application of Subordination and q-Differentiation to Classes of Regular Functions Associated with Certain Special Functions and Bell Numbers
In this work, by applying the concepts of q-differentiation and subordination, we introduce and investigate two new classes of regular functions that...
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Functions
The concept of a real function of a single real variable is introduced. Various kinds of functions (including even, odd and periodic functions) are...
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Special Functions for Solving Nonlinear Differential Equations
This paper shows the special functions are a mathematical tool to solving nonlinear equations. The gamma function is used as an example to show the...
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On a certain differential inequality and applications for generalized special functions
The purpose of this work is to present simple geometrical approaches for solving problems of the theory of differential inequalities and to obtain...