In this paper,we investigate some properties of q-Bernoulli polynomials arising from q-umbral calculus.We find a formula for expressing any polynomial as a linear combination of q-Bernoulli polynomials with explicit c...In this paper,we investigate some properties of q-Bernoulli polynomials arising from q-umbral calculus.We find a formula for expressing any polynomial as a linear combination of q-Bernoulli polynomials with explicit coefficients.Also,we establish some connections between q-Bernoulli polynomials and higher-order q-Bernoulli polynomials.展开更多
In this note, we prove a formula which expresses the constant term of the spherical Eisenstein series on a quasi-split unitary group as a linear combination of spherical Eisenstein series on smaller unitary groups.
Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L，C， Hsu6]using a combinatorial method， In this paper, L，C， Hsu's method in [6]has been put into a formal theor...Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L，C， Hsu6]using a combinatorial method， In this paper, L，C， Hsu's method in [6]has been put into a formal theorem that the author successfully applied to four other Sheffer polynomials: Poisson-Charlier, weighted Touchard, Toscano, and Angelescu polynomials， Within sonic specified domains remainder estimates have been obtained， Moreover, sonic spplicability and llimitation have been mentioned，展开更多
基金supported by the National Research Foundation of Korea(Grant No.2012R1A1A2003786)
文摘In this paper,we investigate some properties of q-Bernoulli polynomials arising from q-umbral calculus.We find a formula for expressing any polynomial as a linear combination of q-Bernoulli polynomials with explicit coefficients.Also,we establish some connections between q-Bernoulli polynomials and higher-order q-Bernoulli polynomials.
基金The Young Teachers Program of Hunan University (Grant No. 531107040660)
文摘In this note, we prove a formula which expresses the constant term of the spherical Eisenstein series on a quasi-split unitary group as a linear combination of spherical Eisenstein series on smaller unitary groups.
基金Supported by the Department of Science and Technology of the Philippines through its ESEP program,
文摘Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L，C， Hsu6]using a combinatorial method， In this paper, L，C， Hsu's method in [6]has been put into a formal theorem that the author successfully applied to four other Sheffer polynomials: Poisson-Charlier, weighted Touchard, Toscano, and Angelescu polynomials， Within sonic specified domains remainder estimates have been obtained， Moreover, sonic spplicability and llimitation have been mentioned，
