Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.
( 3.17 ) In particular the above results hold when the functional M is positive definite and all an ED or all an EE . In the polynomial case ( all a n = 0 ) the continued fractions above reduce to the well - known PC - fractions ...
Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.
Askey, R.A. and Wilson, J.A. [2], Some basic hypergeometric orthogonal polynomials that Generalize Jacobi polynomials, Memoirs Amer. Math. Soc. Number 319 (1985). Bank, E. and Ismail, M.E.H. [1], The attractive Coulomb potential ...
Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.
"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions.
Concise introduction covers general elementary theory, including the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula, special functions, and some specific systems. 1978 ...
This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would...
The final chapter deals with constants and the most important systems of numbers, including Bernoulli and Euler numbers. This book is a valuable resource for mathematicians, engineers, and research workers.
... Oeuvres choisies , 3 vols . S. Hartman , A. Schinzel éds . , PWN - éditions scientifiques de Pologne , Warsaw , 1974 - 1976 ... complètes , 2 vols . Noordhoff , Groningen , 1918 . 70. J.J. SYLVESTER , Collected mathematical papers , 4 vols ...
The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's Theorem on integration in finite terms, Chebyshev's Theory of Orthogonal Polynomials, and very recent ...