Guide To The Umbral Calculus A Different Mathematical Language
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Guide To The Umbral Calculus A Different Mathematical Language
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Author : Silvia Licciardi
language : en
Publisher: World Scientific
Release Date : 2022-06-14
Guide To The Umbral Calculus A Different Mathematical Language written by Silvia Licciardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-14 with Science categories.
This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to provide a formal bridge between different fields of research in pure and applied.
Umbral Calculus
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Author : Steven Roman
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17
Umbral Calculus written by Steven Roman and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Mathematics categories.
Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus.
Modern Umbral Calculus
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Author : Francesco Aldo Costabile
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-06-17
Modern Umbral Calculus written by Francesco Aldo Costabile and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Mathematics categories.
This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.
Umbral Calculus Techniques For Pure And Applied Mathematicians
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Author : Stefano Spezia
language : en
Publisher:
Release Date : 2023-12
Umbral Calculus Techniques For Pure And Applied Mathematicians written by Stefano Spezia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12 with categories.
Since 1850, mathematicians have successfully applied umbral calculus in many fields of mathematics and physics. The success of umbral calculus is due to the possibility of using techniques that have simplified the technicalities of calculations, which are usually wearisome when performed with conventional methods. Umbral Calculus: Techniques for Pure and Applied Mathematics book provides the theoretical basis and many examples of umbral calculus, including operator theory, Hermite, Frobenius-Euler, and other special polynomials, Bessel functions, and at the end, results concerning number theory within umbral calculus viewpoint.
The Umbral Calculus
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Author : Steven Roman
language : en
Publisher:
Release Date : 1978
The Umbral Calculus written by Steven Roman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Umbral Calculus And Hopf Algebras
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Author : Robert A. Morris
language : en
Publisher:
Release Date : 1982
Umbral Calculus And Hopf Algebras written by Robert A. Morris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Calculus categories.
Umbral Calculus And Hopf Algebras
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Author :
language : en
Publisher:
Release Date : 1982
Umbral Calculus And Hopf Algebras written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Calculus categories.
Algebraic Combinatorics And Computer Science
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Author : H. Crapo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic Combinatorics And Computer Science written by H. Crapo 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 2012-12-06 with Mathematics categories.
This book, dedicated to the memory of Gian-Carlo Rota, is the result of a collaborative effort by his friends, students and admirers. Rota was one of the great thinkers of our times, innovator in both mathematics and phenomenology. I feel moved, yet touched by a sense of sadness, in presenting this volume of work, despite the fear that I may be unworthy of the task that befalls me. Rota, both the scientist and the man, was marked by a generosity that knew no bounds. His ideas opened wide the horizons of fields of research, permitting an astonishing number of students from all over the globe to become enthusiastically involved. The contagious energy with which he demonstrated his tremendous mental capacity always proved fresh and inspiring. Beyond his renown as gifted scientist, what was particularly striking in Gian-Carlo Rota was his ability to appreciate the diverse intellectual capacities of those before him and to adapt his communications accordingly. This human sense, complemented by his acute appreciation of the importance of the individual, acted as a catalyst in bringing forth the very best in each one of his students. Whosoever was fortunate enough to enjoy Gian-Carlo Rota's longstanding friendship was most enriched by the experience, both mathematically and philosophically, and had occasion to appreciate son cote de bon vivant. The book opens with a heartfelt piece by Henry Crapo in which he meticulously pieces together what Gian-Carlo Rota's untimely demise has bequeathed to science.
A Comprehensive Treatment Of Q Calculus
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Author : Thomas Ernst
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-08
A Comprehensive Treatment Of Q Calculus written by Thomas Ernst 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 2012-09-08 with Mathematics categories.
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.
The Cumulative Book Index
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Author :
language : en
Publisher:
Release Date : 1982
The Cumulative Book Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with American literature categories.
A world list of books in the English language.