Title of article
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
Author/Authors
Guo, Bai-Ni School of Mathematics and Informatics - Henan Polytechnic University - Jiaozuo 454003 - Henan, China , Qi, Feng School of Mathematical Science - Tianjin Polytechnic University - Tianjin 300387, China
Pages
19
From page
77
To page
95
Abstract
In the paper, the authors view some ordinary differential equations and their solutions from the angle of (generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers
and polynomials, the Frobenius–Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the first and second kinds.
Farsi abstract
در اين مقاله برخي معادلات ديفرانسيل معمولي و راه حل هاي آن ها با نظر به چندجمله
اي هاي مشتق و ساده كردن برخي اتحادهاي شناخته شده براي اعداد و چندجمله اي هاي
برنولي، چندجمله اي هاي فروبنيوس-اويلر، چندجمله اي ها و اعداد اويلر از لحاظ اعداد
استرينگ نوع اول و دوم بررسي مي شوند.
Keywords
Viewpoint , Ordinary differential equation , Solution , Derivative polynomial , Frobenius–Euler polynomial , Stirling numbers , Bernoulli number , Bernoulli polynomial , Identity
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Serial Year
2021
Record number
2684088
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