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
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)
