Asymptotic Approximation of the Apostol-Tangent Polynomials Using Fourier Series

被引：0

作者：

Corcino, Cristina B. ^{[1
,2
]}

Damgo, Baby Ann A. ^{[1
]}

Canete, Joy Ann A. ^{[3
]}

Corcino, Roberto B. ^{[1
,2
]}

机构：

[1] Cebu Normal Univ, Res Inst Computat Math & Phys, Osmena Blvd, Cebu 6000, Philippines

[2] Cebu Normal Univ, Math Dept, Osmena Blvd, Cebu 6000, Philippines

[3] Visayas State Univ, Dept Math & Phys, Baybay City 6521, Philippines

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 01期

关键词：

tangent polynomials; Bernoulli polynomials; Euler polynomials; Genocchi polynomials; generating functions; asymptotic approximation; EULER POLYNOMIALS; GENOCCHI POLYNOMIALS; BERNOULLI; EXPANSIONS;

D O I：

10.3390/sym14010053

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Asymptotic approximations of the Apostol-tangent numbers and polynomials were established for non-zero complex values of the parameter lambda. Fourier expansion of the Apostol-tangent polynomials was used to obtain the asymptotic approximations. The asymptotic formulas for the cases lambda=1 and lambda=-1 were explicitly considered to obtain asymptotic approximations of the corresponding tangent numbers and polynomials.

引用

页数：15

共 26 条

[1]

[Anonymous], 2013, APPL MATH SCI, DOI DOI 10.12988/AMS.2013.13277

[2]

APOSTOL TM, 1951, B AM MATH SOC, V57, P370

[3]

Araci S., 2013, TURK J ANAL NUMBER T, V1, P17, DOI [10.12691/tjant-1-1-5, DOI 10.12691/TJANT-1-1-5]

[4]

Araci S., 2018, Appl. Math. Inf. Sci., V12

[5] Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications [J].

Araci, Serkan ;

Acikgoz, Mehmet .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[6] FOURIER EXPANSIONS FOR APOSTOL-BERNOULLI, APOSTOL-EULER AND APOSTOL-GENOCCHI POLYNOMIALS [J].

Bayad, A. .

MATHEMATICS OF COMPUTATION, 2011, 80 (276) :2219-2221

[7] Fourier expansions for Genocchi polynomials of higher order [J].

Corcino, Cristina B. ;

Damgo, Baby Ann A. ;

Corcino, Roberto B. .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 22 (01) :59-72

[8] Asymptotics of Genocchi polynomials and higher order Genocchi polynomials using residues [J].

Corcino, Cristina B. ;

Corcino, Roberto B. .

AFRIKA MATEMATIKA, 2020, 31 (5-6) :781-792

[9] Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials [J].

He, Yuan ;

Araci, Serkan ;

Srivastava, Hari M. ;

Abdel-Aty, Mahmoud .

MATHEMATICS, 2018, 6 (12)

[10] Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions [J].

López, JL ;

Temme, NM .

STUDIES IN APPLIED MATHEMATICS, 1999, 103 (03) :241-258

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