الفيزياء الرياضية كتب Special Functions متجددة ان شاء الله

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Special Functions

Special Functions and Their Applications
by: N.N. Lebedev
Dover Publications
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Special Functions for Applied Scientists
by: A.M. Mathai, H.J. Haubold
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Special Functions
by: George E. Andrews, Richard Askey, Ranjan Roy
Cambridge University Press
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Special Functions
by: Z. X. Wang, D. R. Guo
World Scientific Pub
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Special Functions
An Introduction to the Classical Functions of Mathematical Physics
by: Nico M. Temme
Wiley-Interscience
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Vistas of Special Functions
by: Shigeru Kanemitsu, Haruo Tsukada
World Scientific
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Also ..... Vistas of Special Functions II
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Special Functions of Applied Mathematics
by: Bille C. Carlson
Academic Press Inc
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Numerical Methods for Special Functions
by: Amparo Gil, Javier Segura, Nico M. Temme
Society for Industrial and Applied Mathematics
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Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas
by: Yury A. Brychkov
Chapman & Hall/CRC
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والبقية تأتي

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التعديل الأخير بواسطة المشرف:
السلام عليكم
دكتور بارك الله فيك على هدا الكم الهائل من الكتب بس عندي ملاحضة فقط انا حملت كتاب
An Introduction to the Classical Functions of Mathematical Physics
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hanane1 قال:
السلام عليكم
دكتور بارك الله فيك على هدا الكم الهائل من الكتب بس عندي ملاحضة فقط انا حملت كتاب
An Introduction to the Classical Functions of Mathematical Physics
لكن وجدت انه يحتاج الى mot de pass فجربت twilightzone فتح عندي الكتاب
فهل ممكن اضافتوا الى الكتب
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Orthogonal Polynomials and Special Functions
Leuven 2002 -Lecture Notes in Mathematics
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Special Functions: A Unified Theory Based on Singularities
(Oxford Mathematical Monographs)
by: Sergei Yu. Slavyanov, Wolfgang Lay
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Representations of Lie groups and special functions
by: Klimyk A.U., Vilenkin N.Ya
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Orthogonal Polynomials and Special Functions
(CBMS-NSF Regional Conference Series in Applied Mathematics 21)
by: Richard Askey
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Asymptotics and Special Functions
(Computer science and applied mathematics)
by: Frank W. J. Olver
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كتب Special Functions

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Advances in Inequalities for Special Functions
(Advances in Mathematical Inequalities)
by: Pietro Cerone
Nova Science Publishers
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Handbook of Continued Fractions for Special Functions
by: Annie A.M. Cuyt, Vigdis Petersen, Brigitte Verdonk, Haakon Waadeland, William B. Jones
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Special Functions
( Macmillan )
by: Earl D. Rainville
Chelsea Pub Co
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:)

Special Functions of Mathematical Physics
A Unified Introduction with Applications
by: Arnold F. Nikiforov, Vasilii B. Uvarov

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Integrals and Series, Volume 2: Special Functions
by: A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev
(translated from the Russian by N.M. Queen)
CRC
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The Special Functions and Their Approximations, Volume 1
(Mathematics in Science & Engineering)
by: Yudell L. Luke
Academic Press
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Special Functions of Mathematical Physics and Chemistry
by: Ian N. Sneddon
Oliver & Boyd
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Generalized Hypergeometric Functions
by: Lucy Joan Slater
Cambridge University Press
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Mathematics for Physicists
(Dover Books on Mathematics)
by: Philippe Dennery, Andre Krzywicki
Dover Publications
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Mathematical Methods of Physics
(2nd Edition)
by: Jon Mathews Robert L. Walker
Addison Wesley
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Mathematical Methods in the Physical Sciences
2nd Edition
by: Mary L. Boas

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Special Functions of Applied Mathematics
Author(s): B.C. Carlson
Publisher: Academic Press Inc
Date : 1978
Pages : 343
Format : Djvu
Language : English
ISBN-10 : 0121601501
Description
Maybe the best reference if you have to teach special functions.
Contents
1 Historical sketch
1.1 Introduction
1.2 The seventeenth century
1.3 The eighteenth century
'1.4 The nineteenth century
1.5 The twentieth century
Notes
2 Appell's symbol and hypergeometric series
2.1 Introduction,
2.2 Appell's symbol
2.3 Vandermonde's theorem
2.4 Hypergeometric series
2.5 Wallis' formula for ?
2.6 Arithmetic, geometric, and logarithmic means
2.7 Stirling's formula for n!
Notes
Formulary
Exercises
3 The gamma function
3.1 Introduction
3.2 Definition and difference equation
3.3 Analyticity
3.4 Limit formulas
3.5 Logarithmic convexity
3.6 The reciprocal of the gamma function
3.7 The duplication theorem
3.8 Stirling's formula in the complex plane
3.9 Euler's reflection formula
3.10 Inequalities
3 .11 Euler measures
Notes
Formulary
Exercises
4 The beta function
4.1 Introduction
4.2 The beta function of two variables
4.3 The beta function of several variables
4.4 Dirichlet measures
Notes
Formulary
Exercises
5 Dirichlet averages
5.1 Introduction
5.2 The averaging process
5.3 Averages of derivatives
5.4 Euler- Poisson differential equations
5.5 Newton-Taylor series with remainder
5.6 Associated functions
5.7 Averages of power series
5.8 Averages of ex
5.9 Averages of xt
5.10 Confluence
5.11 Averages of Cauchy's integral formula
5.12 Averages of e1/x
Notes
Formulary
Exercises
6 Averages of xn and xt
6.1 Introduction
6.2 Representation as a polynomial
6.3 Dirichlet averages with negative parameters
6.4 The binomial theorem
6.5 Linear transformation
6.6 Generating functions
6.7 Polynomials of Legendre, Gegenbauer, and Chebyshev
6.8 Analytic continuation of the R function
6.9 The first quadratic transformation
6.10 The second quadratic transformation
6.11 Gegenbauer's product formula
Notes
Formulary
Exercises
7 Jacobi polynomials
7.1 Taylor series and Jacobi series
7.2 Biorthogonality
7.3 The addition theorem for Gegenbauer polynomials
7.4 Asymptotic properties
7.5 Convergence of series
7.6 Jacobi series of an analytic function
7.7 Applications
7.8 Rodrigues' formula and orthogonality
7.9 Laguerre polynomials
7.10 Hermite polynomials
Notes
Exercises
8 Averages of xt
8.1 Evaluation of integrals
8.2 The Schwarz-Christoffel mapping and elliptic functions
8.3 Gauss's theorem and dependence on a small variable
8.4 Existence theorem for associated functions
8.5 Removal of integral parameters
Notes
Exercises
9 Elliptic Integrals
9.1 Introduction 257
9.2 Symmetric standard functions 261
9.3 Reduction to standard functions 266
9.4 Applications 270
9.5 Landen's transformation 275
9.6 The duplication theorem 278
9.7 The addition theorem 281
9.8 A reduction theorem 283
Notes 287
Exercises 287
A Notation for sets
B Integrals depending on a parameter
Solutions to exercises
References
Index

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