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|454 Clausen Function and write Y^ sin(fce) ^ cos(kx) Cleavance Center even (3) |
ra odd Then the Clausen function Cln(x) can be given symbolically in ...
Clausen's Product Identity 2^(1 + 0,1 + 6; q+a + b; x) ^(J-a, \-b; 1-a -b; x) = 3^2(2' |
|An Algorithmic Approach to Summation and Special Function Identities Wolfram |
Koepf. for any fixed given in 6 N20, generates ... Exercise 7.22 (Clausen's
Product Identity) Use the method of Example 7. 7 to prove 1/4 — a, 1/4 — b x) '
ZFI ( l ...
|Contained within this product identity is the special case of the square of one of |
these polynomials as a double series. ... one of these series can be summed, and
the resulting identity is an extension of Clausen's sum in the terminating case.
| I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Acad. |
... simple until Dr. Volker Strehl (Friedrich- Alexander-Universitat Erlangen-
Niirnberg) pointed out to me that it is a special case of Clausen's product
Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll - 2010 - Preview
|Generally speaking, the difficulty of proving a Clausen identity rises with the |
number of Clausen terms. ... of the Clausen sums also reduces notation, to which
end we write Clausen superpositions in vector dot- product form (ak)·(Cl2(kα)) :=
∑ k ...
|Their connections with the q-Clausen formulae as well as Rogers-Ramanujan |
identities are sketched. ... Saalschiitz theorem, Whipple transform, Dougall-Dixon
formulae, Jackson's q-analogue, Clausen product, Rogers-Ramanujan identities
|Argues that defining sexuality on gender preference is a Euro-American attitude which restricts sexual desire, and discusses issues regarding sexual orientation|
|Theorems relating to the divisors of a number . . Arithmetical proof of Clausen's |
identity . . . Theorems in partitions . . . . . Identities . . . . . . Values of certain infinite
products . . . Note on integration of some differentials . . . Miscellaneous theorems
|Based on the study of neuroscientific developments and innovations, examined from different angles, this Handbook provides a comprehensive overview of the international neuroethical debate, and offers unprecedented insights into the impact ...|
|Clausen Co., 10/18/83) Background In 1981, plaintiff Wynn acquired the rights to |
the “Classic” trademark for automobile ... The identity of the parties' marks and the
marketing of Wynn's “Classic” products for over 30 years are factors favoring ...
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