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Quantum Calculus

Overview of attention for book
Cover of 'Quantum Calculus'

Table of Contents

  1. Altmetric Badge
    Book Overview
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    Chapter 1 q -Derivative and h -Derivative
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    Chapter 2 Generalized Taylor’s Formula for Polynomials
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    Chapter 3 q -Analogue of ( x − a ) n , n an Integer, and q -Derivatives of Binomials
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    Chapter 4 q -Taylor’s Formula for Polynomials
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    Chapter 5 Gauss’s Binomial Formula and a Noncommutative Binomial Formula
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    Chapter 6 Properties of q -Binomial Coefficients
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    Chapter 7 q -Binomial Coefficients and Linear Algebra over Finite Fields
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    Chapter 8 q -Taylor’s Formula for Formal Power Series and Heine’s Binomial Formula
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    Chapter 9 Two Euler’s Identities and Two q -Exponential Functions
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    Chapter 10 q -Trigonometric Functions
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    Chapter 11 Jacobi’s Triple Product Identity
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    Chapter 12 Classical Partition Function and Euler’s Product Formula
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    Chapter 13 q -Hypergeometric Functions and Heine’s Formula
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    Chapter 14 More on Heine’s Formula and the General Binomial
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    Chapter 15 Ramanujan Product Formula
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    Chapter 16 Explicit Formulas for Sums of Two and of Four Squares
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    Chapter 17 Explicit Formulas for Sums of Two and of Four Triangular Numbers
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    Chapter 18 q -Antiderivative
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    Chapter 19 Jackson Integral
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    Chapter 20 Fundamental Theorem of q -Calculus and Integration by Parts
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    Chapter 21 q -Gamma and q -Beta Functions
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    Chapter 22 h -Derivative and h -Integral
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    Chapter 23 Bernoulli Polynomials and Bernoulli Numbers
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    Chapter 24 Sums of Powers
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    Chapter 25 Euler-Maclaurin Formula
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    Chapter 26 Symmetric Quantum Calculus
Overall attention for this book and its chapters
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (93rd percentile)

Mentioned by

twitter
6 X users
syllabi
2 institutions with syllabi
wikipedia
10 Wikipedia pages
q&a
1 Q&A thread

Citations

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1113 Dimensions
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Title
Quantum Calculus
Published by
Universitext, January 2002
DOI 10.1007/978-1-4613-0071-7
ISBNs
978-0-387-95341-0, 978-1-4613-0071-7
Authors

Kac, Victor, Cheung, Pokman, Kac, Victor G., Victor Kac, Pokman Cheung

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The data shown below were collected from the profiles of 6 X users who shared this research output. Click here to find out more about how the information was compiled.
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 10. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 23 February 2024.
All research outputs
#3,527,068
of 25,992,468 outputs
Outputs from Universitext
#1
of 1 outputs
Outputs of similar age
#7,763
of 132,200 outputs
Outputs of similar age from Universitext
#1
of 1 outputs
Altmetric has tracked 25,992,468 research outputs across all sources so far. Compared to these this one has done well and is in the 85th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 1 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 10.0. This one scored the same or higher as 0 of them.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 132,200 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 93% of its contemporaries.
We're also able to compare this research output to 1 others from the same source and published within six weeks on either side of this one. This one has scored higher than all of them