Completeness And Basic Properties Of Sets Of Special Functions
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Completeness And Basis Properties Of Sets Of Special Functions
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Author : J. R. Higgins
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-03
Completeness And Basis Properties Of Sets Of Special Functions written by J. R. Higgins and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-03 with Mathematics categories.
Presents methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces.
Completeness And Basic Properties Of Sets Of Special Functions
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Author : J. R. Higgins
language : en
Publisher:
Release Date : 1977
Completeness And Basic Properties Of Sets Of Special Functions written by J. R. Higgins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Functions, Special categories.
Theory And Applications Of Special Functions
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Author : Mourad E. H. Ismail
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Theory And Applications Of Special Functions written by Mourad E. H. Ismail and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
This volume, "Theory and Applications of Special Functions," is d- icated to Mizan Rahman in honoring him for the many important c- tributions to the theory of special functions that he has made over the years, and still continues to make. Some of the papers were presented at a special session of the American Mathematical Society Annual Meeting in Baltimore, Maryland, in January 2003 organized by Mourad Ismail. Mizan Rahman's contributions are not only contained in his own - pers, but also indirectly in other papers for which he supplied useful and often essential information. We refer to the paper on his mathematics in this volume for more information. This paper contains some personal recollections and tries to describe Mizan Rahman's literary writings in his mother tongue, Bengali. An even more personal paper on Mizan Rahman is the letter by his sons, whom we thank for allowing us to reproduce it in this book. The theory of special functions is very much an application driven field of mathematics. This is a very old field, dating back to the 18th century when physicists and mathematician were looking for solutions of the fundamental differential equations of mathematical physics. Since then the field has grown enormously, and this book reflects only part of the known applications.
An Introduction To Basic Fourier Series
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Author : Sergei Suslov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
An Introduction To Basic Fourier Series written by Sergei Suslov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
It was with the publication of Norbert Wiener's book ''The Fourier In tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer sity Press that the mathematical community came to realize that there is an alternative approach to the study of c1assical Fourier Analysis, namely, through the theory of c1assical orthogonal polynomials. Little would he know at that time that this little idea of his would help usher in a new and exiting branch of c1assical analysis called q-Fourier Analysis. Attempts at finding q-analogs of Fourier and other related transforms were made by other authors, but it took the mathematical insight and instincts of none other then Richard Askey, the grand master of Special Functions and Orthogonal Polynomials, to see the natural connection between orthogonal polynomials and a systematic theory of q-Fourier Analysis. The paper that he wrote in 1993 with N. M. Atakishiyev and S. K Suslov, entitled "An Analog of the Fourier Transform for a q-Harmonic Oscillator" [13], was probably the first significant publication in this area. The Poisson k~rnel for the contin uous q-Hermite polynomials plays a role of the q-exponential function for the analog of the Fourier integral under considerationj see also [14] for an extension of the q-Fourier transform to the general case of Askey-Wilson polynomials. (Another important ingredient of the q-Fourier Analysis, that deserves thorough investigation, is the theory of q-Fourier series.
Proceedings Of The Norbert Wiener Centenary Congress 1994
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Author : Vidyadhar Mandrekar
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Proceedings Of The Norbert Wiener Centenary Congress 1994 written by Vidyadhar Mandrekar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
A mathematician on par with the greatest in the century, Norbert Wiener was a universal thinker of colossal proportions. This book contains the proceedings of the Norbert Wiener Centenary Congress held at Michigan State University on November 27-December 2, 1994. The aim of the Congress was to reveal the depth and strong coherence of thought that runs through Wiener's legacy, and to exhibit its continuation in on-going research. This volume brings together the great minds who have furthered Wiener's ideas in physics, stochastics, harmonic analysis, philosophy, prosthesis and cybernetics. The presentations coherently lay out the developments of the subjects from their inception. This volume provides an excellent pathway for new investigators who may wish to pursue these developments by following the footsteps of world experts. There is no other book available in which experts in the various fields in which Wiener worked have presented his thoughts and contributions insuch a coherent and lucid manner.
Q Series With Applications To Combinatorics Number Theory And Physics
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Author : Bruce C. Berndt
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Q Series With Applications To Combinatorics Number Theory And Physics written by Bruce C. Berndt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.
Completeness And Basic Properties Of Sets Of Special Functions
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Author : J. R. Higgins
language : en
Publisher:
Release Date : 1977
Completeness And Basic Properties Of Sets Of Special Functions written by J. R. Higgins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Functions, Special categories.
Complete Pcb Design Using Orcad Capture And Pcb Editor
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Author : Kraig Mitzner
language : en
Publisher: Academic Press
Release Date : 2019-06-20
Complete Pcb Design Using Orcad Capture And Pcb Editor written by Kraig Mitzner and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Technology & Engineering categories.
Complete PCB Design Using OrCAD Capture and PCB Editor, Second Edition, provides practical instruction on how to use the OrCAD design suite to design and manufacture printed circuit boards. Chapters cover how to Design a PCB using OrCAD Capture and OrCAD PCB Editor, adding PSpice simulation capabilities to a design, how to develop custom schematic parts, how to create footprints and PSpice models, and how to perform documentation, simulation and board fabrication from the same schematic design. This book is suitable for both beginners and experienced designers, providing basic principles and the program's full capabilities for optimizing designs. Companion sitehttps://www.elsevier.com/books-and-journals/book-companion/9780128176849 - Presents a fully updated edition on OrCAD Capture, Version 17.2 - Combines the theoretical and practical parts of PCB design - Includes real-life design examples that show how and why designs work, providing a comprehensive toolset for understanding OrCAD software - Provides the exact order in which a circuit and PCB are designed - Introduces the IPC, JEDEC and IEEE standards relating to PCB design
Syntacticism And Functional Completeness
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Author : Odysseus Makridis
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-12-21
Syntacticism And Functional Completeness written by Odysseus Makridis and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Philosophy categories.
This book constructs an idealized version of what the author calls syntacticism, a school of thought in the philosophy of logic which is congenial to analytical philosophy, logical positivism, and anti-metaphysical nominalism. It examines in detail both technical metalogical and broad philosophic issues associated with this way of thinking about logic, and specifically addresses anomalies around symbolic expressivity, which is crucial for this approach, with a view to provide both a deeper understanding and a critique. The range of fields and interests addressed include: the philosophy of logic, formal logic and mathematical logic, the analytical school of philosophy, logical positivism and nominalism, parallels between thinking about logic and the formalist school in the philosophy of mathematics, the history of modern logic, Wittgenstein’s Tractatus, Leśniewski’s protothetic, dialogue logic, and combinatorial logic.
The American Mathematical Monthly
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Author :
language : en
Publisher:
Release Date : 1980
The American Mathematical Monthly written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematicians categories.