A symbolic operator approach to several summation formulas for power series Export

@article{citeulike:142702, abstract = {This paper deals with the summation problem of power series of the form Click to view the MathML source, where 0less-than-or-equals, slanta<bless-than-or-equals, slant∞, and f(k) is a given sequence of numbers with kset membership, variant[a,b) or f(t) is a differentiable function defined on [a,b). We present a symbolic summation operator with its various expansions, and construct several summation formulas with estimable remainders for Click to view the MathML source, by the aid of some classical interpolation series due to Newton, Gauss and Everett, respectively.}, author = {He, T. X. and Hsu, L. C. and Shiue, P. J. S. and Torney, D. C.}, citeulike-article-id = {142702}, comment = {P.J.-S. Shiue, Department of Mathematical Sciences, University of Nevada Las Vegas}, journal = {Journal of Computational and Applied Mathematics}, keywords = {eulerian, evertts, fraction, function, gauss, generating, interpolation, mathematics, newtons, numbers, operator, polynomial, power, series, summation, symbolic}, month = {May}, number = {1}, pages = {17--33}, posted-at = {2005-03-29 19:59:40}, priority = {2}, title = {A symbolic operator approach to several summation formulas for power series}, volume = {177}, year = {2005} }

TY - JOUR ID - citeulike:142702 L3 - citeulike-article-id:142702 N2 - This paper deals with the summation problem of power series of the form Click to view the MathML source, where 0less-than-or-equals, slanta<bless-than-or-equals, slant∞, and f(k) is a given sequence of numbers with kset membership, variant[a,b) or f(t) is a differentiable function defined on [a,b). We present a symbolic summation operator with its various expansions, and construct several summation formulas with estimable remainders for Click to view the MathML source, by the aid of some classical interpolation series due to Newton, Gauss and Everett, respectively. IS - 1 JF - Journal of Computational and Applied Mathematics EP - 33 TI - A symbolic operator approach to several summation formulas for power series VL - 177 SP - 17 KW - eulerian KW - evertts KW - fraction KW - function KW - gauss KW - generating KW - interpolation KW - mathematics KW - newtons KW - numbers KW - operator KW - polynomial KW - power KW - series KW - summation KW - symbolic N1 - P.J.-S. Shiue, Department of Mathematical Sciences, University of Nevada Las Vegas AU - He, TX AU - Hsu, LC AU - Shiue, PJS AU - Torney, DC PY - 2005/05// ER -