Extension of summation of series of hyperbolic functions (Q1109926)
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scientific article; zbMATH DE number 4071342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of summation of series of hyperbolic functions |
scientific article; zbMATH DE number 4071342 |
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Extension of summation of series of hyperbolic functions (English)
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1988
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About a decade ago, the author, in a series of papers, presented a method of summation of several groups of series of hyperbolic functions [SIAM J. Math. Analysis 5, 551-562 (1974; Zbl 0253.33001); ibid. 6, 129-139 (1975; Zbl 0272.33003) and ibid. 9, 34-48 (1978; Zbl 0372.33001)]. In this very interesting paper the author extends his results include more values of c occuring in the summation. The results are expressed in the closed forms in terms of a complete elliptic integral and its modulus. To see the significance of the results one has to read it in full.
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Weierstrass elliptic function
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Weierstrass zeta function
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hyperbolic functions
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complete elliptic integral
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