MARC details
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02318nam a22002297a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20240501172504.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240406b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9788184874464 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.56 |
| Item number |
RAN-H |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Rane, Vivek V. |
| 245 ## - TITLE STATEMENT |
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| Title |
The Hurwitz and the Lerch Zeta-functions in the second variable |
| Statement of responsibility, etc |
by Vivek V. Rane |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New Delhi : |
| Name of publisher, distributor, etc |
Narosa Publishing House, |
| Date of publication, distribution, etc |
©2016 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
316 p. ; |
| Dimensions |
25 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
Chapter 0: Generalised Euler's Summation Formula and the Basic Fourier Series |
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Chapter 1: Analogues of Euler and Poisson Summation Formulae |
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Chapter 2: Classical Theory of Fourier Series: Demystified and Generalised |
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Chapter 3: Dirichlet L-function and Power Series for Hurwitz Zeta Function |
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Chapter 4: Precise Definition and Analyticity of i i ri i (s, i !) |
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Chapter 5: Instant Evaluation and Demystification of i (n), L(n, i i GBP) that Euler, Ramanujan Missed-I |
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Chapter 6: Instant Evaluation and Demystification of i (n), L(n, i GBP) that Euler, Ramanujan Missed-II |
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Chapter 7: Instant Evaluation and Demystification of i (n), L(n, i i GBP) that Euler, Ramanujan Missed-III |
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Chapter 8: Instant Multiple Zeta Values at Non-positive Integers and the Bernoulli Polynomials |
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Chapter 9: Gamma, Psi, Bernoulli Functions via Hurwitz Zeta Function / The i !-Calculus-cum-i !-Analysis of |
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Chapter 10: Integral Expressions for and Approximations |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
The Hurwitz and the Lerch Zeta- Functions in the Second Variable, which is based on author's own research work, mainly deals with the study of the Hurwitz zeta Function as a function of the second variable, thereby connecting Riemann zeta function, gamma function, Bernoulli polynomials, Dirichlet L-Series and many other functions. In this book, the author has developed an approach based on Euler's summation fornula-cum-the basic fourier series, to deal with problems in number theory. In particular, the book gives a new approach to classical fourier theory. The book uses classical elementary methods subtly. Also the calculus of the Hurwitz zeta function as a function of the second variable has been developed. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions of complex variables. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions, Zeta. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
