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Carlson symmetric form
About: Carlson symmetric form is a research topic. Over the lifetime, 231 publications have been published within this topic receiving 36485 citations.
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01 Jan 1943TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Abstract: 0 Introduction 1 Elementary Functions 2 Indefinite Integrals of Elementary Functions 3 Definite Integrals of Elementary Functions 4.Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integrals of Special Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequalities 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
27,354 citations
Book•
01 Jan 1971
TL;DR: The Handbook of Elliptic Integrals for Engineers and Scientists introduces an integral operator on the set of means and investigates its properties.
Abstract: Download HANDBOOK OF ELLIPTIC INTEGRALS FOR ENGINEERS AND SCIENTISTS PDF. Consequently, it is of interest to approximate complete elliptic integrals by simple and accurate algebraic formulas over the As such, it should be of interest to practitioners in the water engineering community. Handbook of elliptic integrals for ResearchGate is the professional network for scientists and researchers. We also introduce an integral operator on the set of means and investigate its properties. Handbook of Elliptic Integrals for Engineers and Scientists. Springer.
1,870 citations
31 Jan 1984
TL;DR: In this article, the authors present a book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems (AM-105), which is an extension of their previous work.
Abstract: The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), will be forthcoming.
1,725 citations
Book•
01 Jan 1995TL;DR: The z-Transform Numerical Approximation Short Classified Reference List Solutions of Elliptic, Parabolic and Hyperbolic Equations Qualitative Properties of the Heat and Laplace Equation Index.
Abstract: Preface Index of Special Functions and Notations Quick Reference List of Frequently Used Data Numerical, Algebraic, and Analytical Results for Series and Calculus Functions and Identities Derivatives of Elementary Functions Indefinite Integrals of Algebraic Functions Indefinite Integrals of Exponential Functions Indefinite Integrals of Logarithmic Functions Indefinite Integrals of Hyperbolic Functions Indefinite Integrals Involving Inverse Hyperbolic Functions Indefinite Integrals of Trigonometric Functions Indefinite Integrals of Inverse Trigonometric Functions The Gamma, Beta, Pi, and Psi Functions Elliptic Integrals and Functions Probability Integrals and the Error Function Fresnel Integrals, Sine and Cosine Integrals Definite Integrals Different Forms of Fourier Series Bessel Functions Orthogonal Polynomials Laplace Transformation Fourier Transforms Numerical Integration Solutions of Standard Ordinary Differential Equations Vector Analysis Systems of Orthogonal Coordinates Partial Differential Equations and Special Functions The z-Transform Numerical Approximation Short Classified Reference List Solutions of Elliptic, Parabolic and Hyperbolic Equations Qualitative Properties of the Heat and Laplace Equation Index
482 citations