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International Journal of Mathematical Education in Science and Technology Volume 33, 2002 - Issue 3
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Original Articles

Generalization of Bernoulli polynomials

Bai-Ni Guo
&
Feng Qi
Pages 428-431 | Received 09 Jul 2002, Published online: 06 Aug 2010

Citations (21)

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H. M. Srivastava, Burak Kurt & Yilmaz Simsek. (2012) Some families of Genocchi type polynomials and their interpolation functions. Integral Transforms and Special Functions 23:12, pages 919-938.
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Articles from other publishers (20)

Siqintuya Jin, Muhammet Cihat Dağli & Feng Qi. (2022) Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers. Axioms 11:9, pages 477.
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Nabiullah Khan, Mohd Ghayasuddin, Dojin Kim & Junesang Choi. (2022) Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus. Journal of Mathematics 2022, pages 1-10.
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Ye Shuang, Bai-Ni Guo & Feng Qi. (2021) Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:3.
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Mohd Ghayasuddin & Nabiullah Khan. (2020) Certain new presentation of the generalized polynomials and numbers. Rendiconti del Circolo Matematico di Palermo Series 2 70:1, pages 327-339.
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Nabiullah KHAN, Talha USMAN & Junesang CHOİ. (2021) A new class of generalized polynomials involving Laguerre and Euler polynomials. Hacettepe Journal of Mathematics and Statistics 50:1, pages 1-13.
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Feng Qi. (2020) Completely monotonic degree of a function involving trigamma and tetragamma functions. AIMS Mathematics 5:4, pages 3391-3407.
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Feng Qi, Jing-Lin Wang & Bai-Ni Guo. (2020) RETRACTED ARTICLE: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant. Bulletin of the Iranian Mathematical Society 45:6, pages 1821-1829.
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Nabiullah Khan, Talha Usman & Junesang Choi. (2017) A new generalization of Apostol-type Laguerre–Genocchi polynomials. Comptes Rendus Mathematique 355:6, pages 607-617.
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Serkan Araci, Waseem A. Khan, Mehmet Acikgoz, Cenap Özel & Poom Kumam. (2016) A new generalization of Apostol type Hermite–Genocchi polynomials and its applications. SpringerPlus 5:1.
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Feng Qi & Robin J. Chapman. (2016) Two closed forms for the Bernoulli polynomials. Journal of Number Theory 159, pages 89-100.
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Feng Qi, Qiu-Ming Luo & Bai-Ni Guo. 2014. Analytic Number Theory, Approximation Theory, and Special Functions. Analytic Number Theory, Approximation Theory, and Special Functions 485 494 .
. 2012. Zeta and q-Zeta Functions and Associated Series and Integrals. Zeta and q-Zeta Functions and Associated Series and Integrals 603 657 .
H. M. Srivastava, Mridula Garg & Sangeeta Choudhary. (2011) Some New Families of Generalized Euler and Genocchi Polynomials. Taiwanese Journal of Mathematics 15:1.
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Bai-Ni Guo & Qi Feng. (2011) The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values. Filomat 25:4, pages 63-73.
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H. M. Srivastava, M. Garg & S. Choudhary. (2010) A new generalization of the Bernoulli and related polynomials. Russian Journal of Mathematical Physics 17:2, pages 251-261.
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Tie-Hong Zhao, Yu-Ming Chu & Yue-Ping Jiang. (2009) Monotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions. Journal of Inequalities and Applications 2009:1, pages 728612.
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Feng Qi, Qiu-Ming Luo & Bai-Ni Guo. (2008) Darboux’s formula with integral remainder of functions with two independent variables. Applied Mathematics and Computation 199:2, pages 691-703.
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Feng Qi, Pietro Cerone & Sever S. Dragomir. (2005) Some New Iyengar Type Inequalities. Rocky Mountain Journal of Mathematics 35:3.
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Feng Qi, Zong-Li Wei & Qiao Yang. (2005) Generalization and Refinements of Hermite-Hadamard's Inequality. Rocky Mountain Journal of Mathematics 35:1.
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Chao-Ping Chen & QI. Feng. (2004) Inequalities of some trigonometric functions. Publikacije Elektrotehni?kog fakulteta - serija: matematika:15, pages 71-78.
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