الفيزياء الرياضية كتب Special Functions متجددة ان شاء الله

المصدر: كتب Special Functions متجددة ان شاء الله
في منتدى : قسم الفيزياء

السلام عليكم ورحمة الله وبركاته
اخواني اقدم لكم مجموعة من الكتب في
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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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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كل الشكر والتقدير لكي اختنا الفاضلة على هذة الملاحظة القيمة
تقبلي اصدق التحيات
دمتي بحمى الرحمن​

 

Computation and Applications
by: Francisco Marcellán (Editor), Walter Van Assche



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Leuven 2002 -Lecture Notes in Mathematics


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(Oxford Mathematical Monographs)
by: Sergei Yu. Slavyanov, Wolfgang Lay



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by: Klimyk A.U., Vilenkin N.Ya


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(CBMS-NSF Regional Conference Series in Applied Mathematics 21)
by: Richard Askey


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(Computer science and applied mathematics)
by: Frank W. J. Olver



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كتب Special Functions

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(Advances in Mathematical Inequalities)
by: Pietro Cerone
Nova Science Publishers
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by: Annie A.M. Cuyt, Vigdis Petersen, Brigitte Verdonk, Haakon Waadeland, William B. Jones


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( Macmillan )
by: Earl D. Rainville
Chelsea Pub Co

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by: Shanjie Zhang, Jianming Jin
Wiley-Interscience


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A Unified Introduction with Applications
by: Arnold F. Nikiforov, Vasilii B. Uvarov


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by: William Wallace Bell ​

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by: A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev
(translated from the Russian by N.M. Queen)
CRC


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(Mathematics in Science & Engineering)
by: Yudell L. Luke
Academic Press


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by: Ian N. Sneddon
Oliver & Boyd



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by: Larry C. Andrews
Macmillan, 1985



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(Mathematics in Science & Engineering)
by: Yudell L. Luke
Academic Press




M. Aslam Chaudhry


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by: Nina Virchenko, Iryna Fedotova
World Scientific Publishing Company





by: Yudell L. Luke
Academic Press


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اخجلتني بهذا الكلام اخي Elmajbery نفعك الله بعلمك وعملك تقبل مني اصدق التحيات:gift::gift:​

 

(2nd Edition, 1944)
by: G. N. Watson, Sc.D., F.R.S
Cambridge at the University Press 1944


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by: Frank Bowman
Dover Publications


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by: Edward Charles Titchmarsh
Oxford University Press



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by: John Stalker
Birkhäuser





(Oxford Mathematical Monographs)
by: Luigi Ambrosio, Nicola Fusco, Diego Pallara
Oxford University Press, USA

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by: Keith B. Oldham, Jerome Spanier
Academic Press




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by: Dean G. Duffy


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by: George B. Arfken, Hans J. Weber
Academic Press


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by: Eugene Butkov


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by: Lucy Joan Slater
Cambridge University Press


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(Dover Books on Mathematics)
by: Philippe Dennery, Andre Krzywicki
Dover Publications




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(2nd Edition)
by: Jon Mathews Robert L. Walker
Addison Wesley




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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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