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Series Prediction based on Algebraic Approximants
Hermite-Pade polynomial Algebraic approximant Pade approximant prediction of coefficients
2011/9/5
Abstract: It is described how the Hermite-Pad\'e polynomials corresponding to an algebraic approximant for a power series may be used to predict coefficients of the power series that have not been use...
An Exponential Series Method for the Solution of Free Convection Boundary Layer Flow in a Saturated Porous Medium
Boundary Layer Equations Stretching Surface Dirichlet Series Powell’s Method Stretching of Variables.
2013/1/30
Third order nonlinear ordinary differential equation, subject to appropriate boundary conditions, arising in fluid mechanics is solved exactly using more suggestive schemes- Dirichlet series and metho...
Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two
Dirichlet Series Attached Siegel Modular Forms Degree Two
2010/12/8
The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G.
Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-values
Special values of L-functions pullbacks of Eisenstein series
2010/11/29
In this paper we obtain a weighted average formula for special values of L-functions attached to normalized elliptic modular forms of weight k and full level. These results are obtained by studying th...