Lommel Polynomial
المؤلف:
Iyanaga, S. and Kawada, Y.
المصدر:
Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press
الجزء والصفحة:
...
25-3-2019
1957
Lommel Polynomial
The Lommel polynomials 
arise from the equation
 |
(1)
|
where 
is a Bessel function of the first kind and 
is a complex number (Watson 1966, p. 294). The function is given for 
by
where 
is a gamma function, 
is a Bessel function of the first kind, and 
is a generalized hypergeometric function. Since (1) must reduce to the usual recurrence formula for Bessel functions, it follows that
REFERENCES:
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1477, 1980.
Watson, G. N. A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, England: Cambridge University Press, p. 294, 1966.
الاكثر قراءة في التفاضل و التكامل
اخر الاخبار
اخبار العتبة العباسية المقدسة
