Displaying similar documents to “Several Differentiation Formulas of Special Functions. Part VII”

Integrability Formulas. Part III

Bo Li, Na Ma (2010)

Formalized Mathematics

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In this article, we give several differentiation and integrability formulas of composite trigonometric function.

Several Integrability Formulas of Special Functions. Part II

Bo Li, Yanping Zhuang, Yanhong Men, Xiquan Liang (2009)

Formalized Mathematics

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In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3].MML identifier: INTEGR11, version: 7.11.01 4.117.1046

Difference and Difference Quotient. Part IV

Xiquan Liang, Ling Tang, Xichun Jiang (2011)

Formalized Mathematics

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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.

Several Integrability Formulas of Some Functions, Orthogonal Polynomials and Norm Functions

Bo Li, Yanping Zhuang, Bing Xie, Pan Wang (2009)

Formalized Mathematics

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In this article, we give several integrability formulas of some functions including the trigonometric function and the index function [3]. We also give the definitions of the orthogonal polynomial and norm function, and some of their important properties [19].MML identifier: INTEGRA9, version: 7.11.01 4.117.1046

Some commutative neutrix convolution products of functions

Brian Fisher, Adem Kiliçman (1995)

Commentationes Mathematicae Universitatis Carolinae

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The commutative neutrix convolution product of the locally summable functions cos - ( λ x ) and cos + ( μ x ) is evaluated. Further similar commutative neutrix convolution products are evaluated and deduced.

Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints

Tsankov, Yulian (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 44A35, 35L20, 35J05, 35J25 In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too. ...