A Comprehensive Treatment of q-Calculus
The different languages of q-calculus The study of q is often considered to be one of the most difficult subjects to engage in mathematics. This is partly because of the many formulas involved, partly due
The different languages of q-calculus The study of q is often considered to be one of the most difficult subjects to engage in mathematics. This is partly because of the many formulas involved, partly due
Request PDF | A Comprehensive Treatment of q-Calculus | 1 Introduction.- 2 The different languages of q.- 3 Pre q-Analysis.- 4 The q-umbral calculus and the semigroups. The Norlund
Covers many topics on q-calculus, i.e. special functions, combinatorics, q-difference equations and q-Bernoulli numbers Detailed coverage of the historical development of q-calculus Summarizes the
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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
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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,
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The document discusses different types of comprehension questions that may be asked about a passage. It describes direct questions that can be answered explicitly in the text, as well as
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
Below is an outline of how and why this wide and confusing variety of notations came into being, a situation which is closely connected to the 300-year old history of q. The history of the study of q may
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Beyond a thorough review of the historical development of q-calculus, it also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to
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We present the first q-functions in order to facilitate the description of the various schools. We give a survey of the different schools in q-analysis and introduce difference calculus and...