second kind
Poly Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint
... In this paper, we investigate the properties of the poly-Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint. The purpose of this paper is to give various identities of the ...
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On Two Extension Formulas for Lauricella’s Function of the Second Kind of Several Variables
... Abstract The aim of this research paper is to derive two extension formulas for Lauricella’s function of the second kind of several variables with the help of generalized Dixon’s theorem[r] ...
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ON THE FULLY DEGENERATE DAEHEE NUMBERS AND POLYNOMIALS OF THE SECOND KIND
... the second kind, and found the relationship between the degenerate Bernoulli polynomials, the first and second Stirling numbers, the Bernoulli polynomials, de- generate Stirling numbers of the ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... Abstract— In the present paper, we solve numerically Volterra integral equations of second kind with regular and singular kernels by given a numerical algorithm to solve the equation. Numerical example are ...
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Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs
... the second kind has been successfully applied to study the model nonlinear ...the second kind is an efficient and easy-to-use technique for finding exact and approximate solutions for ...
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Motion machines of second kind
... The second law of thermodynamics, ...ond kind as well as motion machine of second kind in the set of tardyons and ...of second kind using which we show that the Clausius ...
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A “Hard to Die” Series Expansion and Lucas Polynomials of the Second Kind
... the second kind, we have shown how to obtain the solution of the vectorial Cauchy problem (1) in terms of functions of the invariants of , instead of powers of ...
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On (q, r, w)-Stirling Numbers of the Second Kind
... By making use of Eq. (1.5), we investigate some new properties and derive some relations among q-Bernoulli numbers and polynomials, and newly de…ned (q; r)- Stirling numbers. We also obtain q-Bernstein polynomials as a ...
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On Poly Bernoulli polynomials of the second kind with umbral calculus viewpoint
... Poly-Bernoulli polynomials of the second kind were introduced in Kim et al. (Adv. Differ. Equ. 2014:219, 2014) as a generalization of the Bernoulli polynomial of the second kind. Here we ...
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Fast multipole method for singular integral equations of second kind
... In this paper, we explore collocation methods for a singular Fredholm integral equation of the second kind and utilize the FMM to improve the efficiency of algorithm. Based on the multipole expansion of ...
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Solution of Linear Dynamical Systems Using Lucas Polynomials of the Second Kind
... relation, i.e. the generalized Lucas polynomials of the second kind, we have shown how to obtain the solution of vectorial dynamical problems, both in the discrete (3.1) and continuous (3.3) case, in terms ...
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Chebyshev Galerkin method for integro-differential equations of the second kind
... This article deals with the numerical solution of the first order Volterra integro-differential equations of the second kind, using Galerkin method by Chebyshev Polynomials. This technique is tested on three ...
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Generalized Tschebyscheff of the Second Kind and Bernstein Polynomials Change of Bases
... Abstract. We construct multiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. Also, we provide an explicit closed from of The generalized ...
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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... second kind. Here, by converting integral equation of the first kind to a linear equation of the second kind and the ordinary differential equation to integral equation we are going to ...
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Modified Algorithm for Solving Linear Integro Differential Equations of the Second Kind
... In this paper, a modified algorithm is proposed for solving linear inte- gro-differential equations of the second kind. The main idea is based on ap- plying Romberg extrapolation algorithm (REA), on ...
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Orthogonal Rational Functions, Associated Rational Functions And Functions Of The Second Kind
... second kind. Next, under certain conditions on the poles in A, we prove that the ϕ (1) j\1 form an orthonormal system of ratio- nal functions with respect to a Hermitian positive-definite inner product. ...
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Extended central factorial polynomials of the second kind
... In this paper, we consider the extended central factorial polynomials and numbers of the second kind, and investigate some properties and identities for these polynomials and numbers. In addition, we give ...
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Barnes type Narumi of the second kind and Barnes type Peters of the second kind hybrid polynomials
... In this paper, by considering Barnes-type Narumi polynomials of the second kind and Barnes-type Peters polynomials of the second kind, we define and investigate the hybrid polynomials of these ...
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Barnes type Daehee of the second kind and poly Cauchy of the second kind mixed type polynomials
... In this paper, we introduce the mixed-type polynomials: Barnes-type Daehee polynomials of the second kind and poly-Cauchy polynomials of the second kind. From the properties of Sheffer ...
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A modified Bessel distribution of the second kind
... is the modified Bessel function of the second kind. Many generalizations of (1) have been proposed in the literature. See Harris and Soms (1974), Thabane and Kibria (1999), Anh et al. (2005), Gupta and ...
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