Quantum Recurrence Relation and Its Generating Functions

Recurrence Relations and Generating Functions

Solving Recurrence with Generating Functions

On composition of generating functions

In this work we study numbers and polynomials generated by two type of composition of generating functions and get their explicit formulae. Furthermore we state an improvementof the composita formulae's given in [6] and [3], using the new composita formula's we construct a variety of combinatorics identities. This study go alone to dene new family of generalized Bernoulli polynomials which incl...

petrology and geochemistry of khar-bash (western shahrood) and its relation ship to iron mineralization

منطقه مورد مطالعه در 23 کیلومتری جنوب غرب شهرستاشاهرود قرار دارد که در نقشه 100000/1 شاهرود قرار گرفته است.ناحیه مورد مطالعه در تقسیمات ساختاری ایران بخشی از زون البرز شرقی است . در طی سنوزوئیک این زون به شدت تحت تأثیر فازهای کوهزایی آلپی قرار گرفته و فعالیت های آتشفشانی انوسن در قسمت های غربی آن دیده می شود . از نظر ترکیب سنگ شناسی منطقه مورد مطالعه متنوع و بیشتر شامل سنگ های رسوبی مانند : آ...

Using Generating Functions to Solve Linear Inhomogeneous Recurrence Equations

This paper looks at the approach of using generating functions to solve linear inhomogeneous recurrence equations with constant coefficients. It will be shown that the generating functions for these recurrence equations are rational functions. By decomposing a generating function into partial fractions, one can derive explicit formula as well as asymptotic estimates for its coefficients. Key–Wo...