Addition Theorems for the Functions of the Paraboloid of Revolution
Addition Theorems for the Functions of the Paraboloid of Revolution
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In our eReader you can find the full English version of the book. Read Addition Theorems for the Functions of the Paraboloid of Revolution Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Addition Theorems for the Functions of the Paraboloid of Revolution
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To quickly assess the difficulty of the text, read a short excerpt:
T, . MS |(-p I, [(^) -\„, (. -, „] - (1**)'^ h [(l**)""^-!^'. *'] from which one derives G (P, t) - GJP', t) + ^ (m. L)G^^^(P, t) * t(in) ^ G^^^ (P, t) . (m-l)G^_^(p', t) - (l*t)4G^_^(p', t)] .
One can now state Theorem $ : Under the infinitesimal rotation x' " X + zdT y» - y z' ■ z - xdT one has the fonnula ny) - -Qn^^') * -? [ir^-l*n)Ql*\? ) - (n. I)n^i(p') (m+n-l)n;"^(P') * ( n. L)ll-i-(p')J.
- 22 - Acknowledgement The author wishes to express his thanks to Prof. W. Magnus for suggesting the... problem considered here and for his help and interest during the course of the investigation.
References [l] J, Meixner and F. W. Schfifke - Kathieusche Funktionen und SpbSroid- funktionenj Springer, 195U» [2] A. Erdelyi, et al. - Higher Transcendental Functions; Vol, 1 and 2, McGraw Hill, 1953.
[3] H. Buchhola - Die Konfluente Hypergeometrische Funktionj Springer, 1953* [U] W, Magnus and F, Oberhettinger - Formulas and Theorems for the Special Functions of Mathematical Physicsj Chelsea, 19U9» [^ G.
What to read after Addition Theorems for the Functions of the Paraboloid of Revolution?
You can find similar books in the "Read Also" column, or choose other free books by Harry Hochstadt to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
T, . MS |(-p I, [(^) -\„, (. -, „] - (1**)'^ h [(l**)""^-!^'. *'] from which one derives G (P, t) - GJP', t) + ^ (m. L)G^^^(P, t) * t(in) ^ G^^^ (P, t) . (m-l)G^_^(p', t) - (l*t)4G^_^(p', t)] .
One can now state Theorem $ : Under the infinitesimal rotation x' " X + zdT y» - y z' ■ z - xdT one has the fonnula ny) - -Qn^^') * -? [ir^-l*n)Ql*\? ) - (n. I)n^i(p') (m+n-l)n;"^(P') * ( n. L)ll-i-(p')J.
- 22 - Acknowledgement The author wishes to express his thanks to Prof. W. Magnus for suggesting the... problem considered here and for his help and interest during the course of the investigation.
References [l] J, Meixner and F. W. Schfifke - Kathieusche Funktionen und SpbSroid- funktionenj Springer, 195U» [2] A. Erdelyi, et al. - Higher Transcendental Functions; Vol, 1 and 2, McGraw Hill, 1953.
[3] H. Buchhola - Die Konfluente Hypergeometrische Funktionj Springer, 1953* [U] W, Magnus and F, Oberhettinger - Formulas and Theorems for the Special Functions of Mathematical Physicsj Chelsea, 19U9» [^ G.
What to read after Addition Theorems for the Functions of the Paraboloid of Revolution?
You can find similar books in the "Read Also" column, or choose other free books by Harry Hochstadt to read onlineMoreLess
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