Certain mathematical functions occur often enough in fields like physics and engineering to warrant special consideration. They form a class of well-studied functions with an extensive literature and, appropriately enough, are collectively called special functions . These functions carry such names as ...
Mathematics - Quantum Algebra33Dxx33D80A tutorial introduction is given to q-special functions and to q-analogues of the classical orthogonal polynomials, up to the level of Askey-Wilson polynomials.Tom H. Koornwinder131–166 in Special Functions, q-Series and Related Topics...
A lot of the mathematical implementations we do at NearForm depends on so-calledmathematical special functions. There is no clearly defined criteria for what a special function is, but suffice to say they are functions that often turn up in mathematics and most of them are notoriously hard to...
Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since. In just the past thirty years seve...
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf...
Schlichtkrull, Harmonic Analysis and Special Functions on Symmetric Spaces. Perspec- tives in Mathematics 16. Academic Press, New York, 1994G.J. Heckman, H. Schlichtkrull, Harmonic Analysis and Special Functions on Symmetric Spaces, Perspectives in Math. 16, Academic Press, New York, 1995....
Mathematics in Science and Engineering, Vol. 43.W. Miller, Jr., Lie theory and special functions. Mathematics in Science and Engi- neering, Vol. 43. Academic Press, New York-London, 1968.Miller W., Jr. Lie Theory and Special Functions. N. Y.: Academic Press, 1968....
Orthogonal Polynomials and Special Functions (CBMS-NSF Regional Conference Series in Applied Mathematics)的创作者 ··· Richard Askey 作者 丛书信息 ··· CBMS-NSF Regional Conference Series in Applied Mathematics(共100册),这套丛书还有 《Feasible Computations and Provable Complexity Properties》《Na...
Sonine’s formula is more general, extending to Bessel functionsJνwith Re(ν) > ½. I chose ν = 1 for this post because the Sonin’s formula is simplest in this case. Posted inMath TaggedSpecial functions 2 Comments Dimensional analysis for gamma function values ...
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS简介 Magazine introduction 英文简介 Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. ...