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 100
- Downloads 0
EXPLORING ESWATINI SENIOR SECONDARY SCHOOL GEOGRAPHY TEACHERS’ UNDERSTANDING OF AND ATTITUDES TO EDUCATION FOR SUSTAINABLE DEVEOLOPMENT
Due to the close affinity that Geography shares with the theoretical constructs and methodologies of Education for sustainable development (ESD), Geography is expected to play a major role in the implementation of ESD. H...
RICE EXPORT FROM INDIA: TRENDS, PROBLEMS AND PROSPECTS
In India, agriculture is the main occupation. About 58 per cent of the population depends upon agriculture. It is the backbone of the Indian economy. In agriculture, rice is one of the most important food crops of India....
MICROWAVE ASSISTED SYNTHESIS, A GREEN PROTOCOL FOR DEVELOPMENT OF NEW AND ADVANCED DRUG DELIVERY SYSTEMS, A REVIEW
Medicinal Chemistry community is considering new chemical processes, which are environmentally benign. Environmentally benign synthetic protocols have become the primary concern during complex drug discovery processes. G...
MULTI-PRODUCT MASTER PRODUCTION SCHEDULING OPTIMIZATION MODELLING USING MIXED INTEGER LINEAR PROGRAMMING AND GENETIC ALGORITHMS
The objective of this research is to develop a Master Production Scheduling (MPS) model to maximize the total profit using Mixed Integer Linear Programming (MILP). The model is solved using both MILP with the Xpress soft...
TECHNOLOGICAL REVOLUTION IN EDUCATION IN INDIA
Education, normally one of the largest employers in any country, is one of the industries which have not undergone a technological revolution. We must help to move it out of the handicraft stage. With the terrible and gr...