Uvarov, V. B. (Vasiliĭ Borisovich)
Overview
Works:  28 works in 145 publications in 5 languages and 1,747 library holdings 

Roles:  Author, Other 
Classifications:  QC20.7.F87, 530.15 
Publication Timeline
.
Most widely held works by
V. B Uvarov
Special functions of mathematical physics : a unified introduction with applications by
A. F Nikiforov(
Book
)
18 editions published between 1985 and 1988 in English and held by 292 WorldCat member libraries worldwide
With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem ({sect}3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type ({sect}{sect}12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics
18 editions published between 1985 and 1988 in English and held by 292 WorldCat member libraries worldwide
With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem ({sect}3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type ({sect}{sect}12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics
Classical orthogonal polynomials of a discrete variable by
A. F Nikiforov(
Book
)
12 editions published between 1990 and 1991 in English and held by 245 WorldCat member libraries worldwide
While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis
12 editions published between 1990 and 1991 in English and held by 245 WorldCat member libraries worldwide
While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis
Tables of Racah coefficients by
A. F Nikiforov(
Book
)
15 editions published in 1965 in English and held by 145 WorldCat member libraries worldwide
Tables of Racah Coefficients presents a compilation of tables of Racah coefficients. Racah coefficients appear and are widely used in a number of problems in quantum mechanics; in the theory of spectra of complex atoms and nuclei; in the theory of angular distributions of nuclear reactions; in the theory of angular correlations of decay particles; and many other problems where the sums of products of three or more ClebschGordan coefficients occur
15 editions published in 1965 in English and held by 145 WorldCat member libraries worldwide
Tables of Racah Coefficients presents a compilation of tables of Racah coefficients. Racah coefficients appear and are widely used in a number of problems in quantum mechanics; in the theory of spectra of complex atoms and nuclei; in the theory of angular distributions of nuclear reactions; in the theory of angular correlations of decay particles; and many other problems where the sums of products of three or more ClebschGordan coefficients occur
Quantumstatistical models of hot dense matter : methods for computation opacity and equation of state by
A. F Nikiforov(
Book
)
19 editions published in 2005 in English and Spanish and held by 124 WorldCat member libraries worldwide
The widely used theoretical models for calculating properties of hot dense matter are studied in this book. Calculations using the presented formulas and algorithms are illustrated by plots, tables, and also are compared with experimental results. The purpose is to help understanding atomic physics in hot plasma and in developing efficient and robust computer codes for calculating opacity and equations of state for arbitrary material in a wide range of temperatures and densities
19 editions published in 2005 in English and Spanish and held by 124 WorldCat member libraries worldwide
The widely used theoretical models for calculating properties of hot dense matter are studied in this book. Calculations using the presented formulas and algorithms are illustrated by plots, tables, and also are compared with experimental results. The purpose is to help understanding atomic physics in hot plasma and in developing efficient and robust computer codes for calculating opacity and equations of state for arbitrary material in a wide range of temperatures and densities
Mathematical analysis by
V. B Uvarov(
Book
)
7 editions published between 1984 and 1988 in English and Russian and held by 91 WorldCat member libraries worldwide
7 editions published between 1984 and 1988 in English and Russian and held by 91 WorldCat member libraries worldwide
Fonctions spéciales de la physique mathématique by
A. F Nikiforov(
Book
)
11 editions published between 1976 and 1983 in 3 languages and held by 72 WorldCat member libraries worldwide
11 editions published between 1976 and 1983 in 3 languages and held by 72 WorldCat member libraries worldwide
Éléments de la théorie des fonctions spéciales by
A. F Nikiforov(
Book
)
16 editions published between 1974 and 1976 in French and Undetermined and held by 49 WorldCat member libraries worldwide
16 editions published between 1974 and 1976 in French and Undetermined and held by 49 WorldCat member libraries worldwide
Analyse mathématique by
V. B Uvarov(
Book
)
5 editions published in 1988 in French and Undetermined and held by 36 WorldCat member libraries worldwide
5 editions published in 1988 in French and Undetermined and held by 36 WorldCat member libraries worldwide
Klassicheskie ortogonalʹnye polinomy diskretnoĭ peremennoĭ by
A. F Nikiforov(
Book
)
3 editions published in 1985 in Russian and held by 20 WorldCat member libraries worldwide
3 editions published in 1985 in Russian and held by 20 WorldCat member libraries worldwide
Spet︠s︡ialʹnye funkt︠s︡ii matematicheskoĭ fiziki by
A. F Nikiforov(
Book
)
4 editions published between 1978 and 1984 in Russian and held by 17 WorldCat member libraries worldwide
4 editions published between 1978 and 1984 in Russian and held by 17 WorldCat member libraries worldwide
Osnovy teorii spet︠s︡ialʹnykh funkt︠s︡iĭ by
A. F Nikiforov(
Book
)
6 editions published in 1974 in Russian and held by 15 WorldCat member libraries worldwide
6 editions published in 1974 in Russian and held by 15 WorldCat member libraries worldwide
Tablicy koėfficientov Raka by
A. F Nikiforov(
Book
)
5 editions published in 1962 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
5 editions published in 1962 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
Special'nye funkcii matematičeskoj fiziki by
A. F Nikiforov(
Book
)
5 editions published between 1978 and 1984 in Russian and held by 9 WorldCat member libraries worldwide
5 editions published between 1978 and 1984 in Russian and held by 9 WorldCat member libraries worldwide
Klassičeskie ortogonalʹnye polinomy diskretnoj peremennoj by
A. F Nikiforov(
Book
)
4 editions published in 1985 in Russian and Undetermined and held by 8 WorldCat member libraries worldwide
4 editions published in 1985 in Russian and Undetermined and held by 8 WorldCat member libraries worldwide
Kvantovostatisticheskie modeli vysokotemperaturnoĭ plazmy : metody rascheta rosselandovykh probegov i uravneniĭ sostoi︠a︡nii︠a︡ by
A. F Nikiforov(
Book
)
1 edition published in 2000 in Russian and held by 7 WorldCat member libraries worldwide
1 edition published in 2000 in Russian and held by 7 WorldCat member libraries worldwide
Osnovy teorii special'nyh funkcij by
A. F Nikiforov(
Book
)
2 editions published in 1974 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1974 in Russian and held by 2 WorldCat member libraries worldwide
Polučenie linejno nezavisimych rešenij raznostnych uravnenij gipergeometričeskogo tipa by
A. F Nikiforov(
Book
)
1 edition published in 1989 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Undetermined and held by 1 WorldCat member library worldwide
Sferičeskie garmoniki, ortogonalʹnye na diskretnom množestve toček by
A. F Nikiforov(
Book
)
1 edition published in 1987 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1987 in Undetermined and held by 1 WorldCat member library worldwide
Special functions of Mathematical Phisics by
V. B Uvarov(
Book
)
1 edition published in 1988 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Italian and held by 1 WorldCat member library worldwide
Tables of Racah coefficients by
A. F Nikiforov(
)
1 edition published in 1965 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Nikiforov, A. F. Author
 Novikov, V. G. (Vladimir Grigorʹevich)
 Suslov, S. K. (Sergeĭ Konstantinovich) Other
 Levitan, I︠U︡. L.
 Samarskiĭ, A. A. (Aleksandr Andreevich) Publishing director Editor
 Kotliar, Vladimir Translator
 Vakhourkina, Lioudmila Translator
 Graev, M. I. (Mark Iosifovich) Editor
 Nikiforov, Aleksandr Fedorovich Author
 Kotliar, Vladimir Translator
Associated Subjects
Atomic structure Equations of state Functions Functions, Special Functions of real variables High temperature plasmas Mathematical analysis Mathematical physics Multivariate analysis Numerical analysis Orthogonal polynomials Physics Plasma density Quantum statistics Quantum theory Racah coefficients
Alternative Names
Ouvarov, V.
Ouvarov, V. 19291997
Ouvarov Vasili B.
Ouvarov Vassili
Uvarov, V. B.
Uvarov, V. B. 19291997
Uvarov, Vasili B.
Uvarov, Vasilii B.
Uvarov, Vasilii B. 19291997
Uvarov, Vasiliĭ Borisovich
Uvarov, Vasilii Borisovich 19291997
Uvarov, Vasilij Borisovič 19291997
Уваров, Василий Борисович
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