DEVELOPMENT OF FOKKINK-FOKKINK-WANG’S GENERATING FUNCTION FOR FFW n
Journal Title: International journal of research -GRANTHAALAYAH - Year 2015, Vol 3, Issue 2
Abstract
In 1995, R. Fokkink, W. Fokkink and Wang defined the FFW n in terms of s , where s is the smallest part of partition . In 2008, Andrews obtained the generating function for FFW n . In 2013, Andrews, Garvan and Liang extended the FFW-function and obtained the similar expressions for the spt-function and then defined the spt-crank generating functions. They also defined the generating function for FFW z,n in various ways. This paper shows how to find the number of partitions of n into distinct parts with certain conditions and shows how to prove the Theorem 1 by induction method. This paper shows how to prove the Theorem 2 with the help of two generating functions.
Authors and Affiliations
Keywords
Related Articles
- EP ID EP213008
- DOI -
- Views 99
- Downloads 0
SPIRITUAL INTELLIGENCE AND PURPOSE IN LIFE OF SECONDARY SCHOOL TEACHERS
All around development means a person must be physically fit, mentally balanced, emotionally strong, socially adjusted and spiritually uplifted. The spiritual intelligence solves problems of meaning and value. It gives d...
HOMOGENEOUS VINYLATION OF 2-HYDROXY-2 PHENYLETHANICAL ACID
Homogeneous-catalytical vinylation of 2-hydroxy-2-phenylethanical acid was carried out. Influence of catalylists nature, temperature and duration reaction on yield of synthesized vinyl ester has been investigated. basis...
WOMEN AS GODDESS IN INDIAN ART
In India, we find the worship of great mother in varying forms. The Female figures from Indus civilization indicate the fertility cult. , the early records of terracotta sculpture are the evidences. Since IInd century A....
INDEPENDENT AND CONJOINED EFFECT OF TYPES OF HOSPITALS AND EDUCATIONAL QUALIFICATION ON JOB SATISFACTION OF NURSES IN M.P.
The aim of the present study was to find out the impact of types of hospital on Job Satisfaction of nurses. For this a sample of 300 Nurses with diploma or degree as Educational qualification of Government and Private Ho...
THE CAUSAL LINK BETWEEN VACCINATION ADJUVANTS AND AUTISM
Adjuvants essential in vaccines to stimulate activation of the immune system comprise submicron ( 100 nm) nanoparticles (NPs) of aluminum hydroxide that upon vaccine injection cross the blood-brain-barrier (BBB) and bec...