A Comprehensive Treatment of q-Calculus

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book A Comprehensive Treatment of q-Calculus by Thomas Ernst, Springer Basel
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Thomas Ernst ISBN: 9783034804318
Publisher: Springer Basel Publication: September 13, 2012
Imprint: Birkhäuser Language: English
Author: Thomas Ernst
ISBN: 9783034804318
Publisher: Springer Basel
Publication: September 13, 2012
Imprint: Birkhäuser
Language: English

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.​  

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.​  

More books from Springer Basel

Cover of the book Isaac Newton's Temple of Solomon and his Reconstruction of Sacred Architecture by Thomas Ernst
Cover of the book Infection, Immune Homeostasis and Immune Privilege by Thomas Ernst
Cover of the book Ibuprofen: Pharmacology, Therapeutics and Side Effects by Thomas Ernst
Cover of the book Evolution Equations Arising in the Modelling of Life Sciences by Thomas Ernst
Cover of the book Replicating Vaccines by Thomas Ernst
Cover of the book The Scholar and the State: In Search of Van der Waerden by Thomas Ernst
Cover of the book Counting Surfaces by Thomas Ernst
Cover of the book Galanin by Thomas Ernst
Cover of the book Berichte zu Pflanzenschutzmitteln 2011 by Thomas Ernst
Cover of the book Around and Beyond the Square of Opposition by Thomas Ernst
Cover of the book The Vexing Case of Igor Shafarevich, a Russian Political Thinker by Thomas Ernst
Cover of the book Introduction to Quantitative Methods for Financial Markets by Thomas Ernst
Cover of the book Indacaterol by Thomas Ernst
Cover of the book Circulating microRNAs in Disease Diagnostics and their Potential Biological Relevance by Thomas Ernst
Cover of the book T Lymphocytes as Tools in Diagnostics and Immunotoxicology by Thomas Ernst
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy