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An introduction to tensor analysis / / Bipin Singh Koranga, Sanjay Kumar Padaliya
| An introduction to tensor analysis / / Bipin Singh Koranga, Sanjay Kumar Padaliya |
| Autore | Koranga Bipin Singh |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Gistrup, Denmark : , : River Publishers, , [2020] |
| Descrizione fisica | 1 online resource (128 pages) |
| Disciplina | 515.724 |
| Collana | River Publishers Series in Mathematical and Engineering Sciences |
| Soggetto topico | Tensor algebra |
| ISBN |
1-00-333719-8
1-003-33719-8 1-000-79591-8 87-7022-580-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910821295003321 |
Koranga Bipin Singh
|
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| Gistrup, Denmark : , : River Publishers, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Special functions and their application / / Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal
| Special functions and their application / / Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal |
| Autore | Koranga Bipin Singh |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] |
| Descrizione fisica | 1 online resource (124 pages) |
| Disciplina | 515.5 |
| Collana | River Publishers series in mathematical and engineering sciences |
| Soggetto topico |
Functions, Special
Functional analysis Gamma functions |
| ISBN |
1-00-333959-X
1-003-33959-X 1-000-79559-4 87-7022-625-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover -- Special Functions and their Applications -- Contents -- Preface -- List of Tables -- 1 The Gamma Function -- 1.1 Definition of Gamma Function -- 1.2 Gamma Function and Some Relations -- 1.3 The Logarithmic Derivative of the Gamma Function -- 1.4 Asymptotic Representation of the Gamma Function for Large |z| -- 1.5 Definite Integrals Related to the Gamma Function -- 1.6 Exercises -- 2 The Probability Integral and Related Functions -- 2.1 The Probability Integral and its Basic Properties -- 2.2 Asymptotic Representation of Probability Integral for Large |z| -- 2.3 The Probability Integral of Imaginary Argument -- 2.4 The Probability Fresnel Integrals -- 2.5 Application to Probability Theory -- 2.6 Application to the Theory of Heat Conduction -- 2.7 Application to the Theory of Vibrations -- 2.8 Exercises -- 3 Spherical Harmonics Theory -- 3.1 Introduction -- 3.2 The Hypergeometric Equation and its Series Solution -- 3.3 Legendre Functions -- 3.4 Integral Representations of the Legendre Functions -- 3.5 Some Relations Satisfied by the Legendre Functions -- 3.6 Workskian of Pairs of Solutions of Legendre's Equation -- 3.7 Recurrence Relations for the Legendre Functions -- 3.8 Associated Legendre Functions -- 3.9 Exercises -- 4 Bessel Function -- 4.1 Bessel Functions -- 4.2 Generating Function -- 4.3 Recurrence Relations -- 4.4 Orthonormality -- 4.5 Application to the Optical Fiber -- 4.6 Exercises -- 5 Hermite Polynomials -- 5.1 Hermite Functions -- 5.2 Generating Function -- 5.3 Recurrence Relations -- 5.4 Rodrigues Formula -- 5.5 Orthogonality and Normalilty -- 5.6 Application to the Simple Harmonic Oscillator -- 5.7 Exercises -- 6 Laguerre Polynomials -- 6.1 Laguerre Functions -- 6.2 Generating Function -- 6.3 Recurrence Relations -- 6.4 Rodrigues Formula -- 6.5 Orthonormality -- 6.6 Application to the Hydrogen Atom.
6.7 Associated Laguerre Polynomials -- 6.7.1 Properties of Associated Laguerre Polynomials -- 6.8 Exercises -- Bibliography -- Index -- About the Authors -- Back Cover. |
| Record Nr. | UNINA-9910827482503321 |
|
Koranga Bipin Singh
|
||
| Gistrup, Denmark ; ; London ; ; New York, New York : , : River Publishers : , : Routledge, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||