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Integral representation of first kind Kapteyn series

✍ Scribed by Baricz, Árpád; Jankov, Dragana; Pogány, Tibor K.

Book ID
118749730
Publisher
American Institute of Physics
Year
2011
Tongue
English
Weight
507 KB
Volume
52
Category
Article
ISSN
0022-2488

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✍ Diego Ernesto Dominici 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 225 KB

We study the relation between the coefficients of Taylor series and Kapteyn series representing the same function. We compute explicit formulas for expressing one in terms of the other and give examples to illustrate our method.