Harmonic number and Multiplication theorem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Harmonic number and Multiplication theorem

Harmonic number vs. Multiplication theorem

In mathematics, the -th harmonic number is the sum of the reciprocals of the first natural numbers: Harmonic numbers are related to the harmonic mean in that the -th harmonic number is also times the reciprocal of the harmonic mean of the first positive integers. In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function.

Similarities between Harmonic number and Multiplication theorem

Harmonic number and Multiplication theorem have 6 things in common (in Unionpedia): Digamma function, Mathematics, Polygamma function, Polylogarithm, Riemann zeta function, Special functions.

Digamma function

In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: It is the first of the polygamma functions.

Digamma function and Harmonic number · Digamma function and Multiplication theorem · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Polygamma function

In mathematics, the polygamma function of order is a meromorphic function on '''ℂ''' and defined as the th derivative of the logarithm of the gamma function: Thus holds where is the digamma function and is the gamma function.

Harmonic number and Polygamma function · Multiplication theorem and Polygamma function · See more »

Polylogarithm

In mathematics, the polylogarithm (also known as '''Jonquière's function''', for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only for special values of s does the polylogarithm reduce to an elementary function such as the natural logarithm or rational functions.

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Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.

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Special functions

Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.

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The list above answers the following questions

What Harmonic number and Multiplication theorem have in common
What are the similarities between Harmonic number and Multiplication theorem

Harmonic number and Multiplication theorem Comparison

Harmonic number has 59 relations, while Multiplication theorem has 38. As they have in common 6, the Jaccard index is 6.19% = 6 / (59 + 38).

References

This article shows the relationship between Harmonic number and Multiplication theorem. To access each article from which the information was extracted, please visit:

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