Turn on thread page Beta

Continuity of beta function. watch

Announcements
    • Thread Starter
    Offline

    2
    ReputationRep:
    I need to make an assignment on beta function. So, I need to know about the continuity of beta function. would anyone be a dear to describe beta function and it's continuity and convergence ?
    Offline

    18
    ReputationRep:
    (Original post by S. M. Naser)
    I need to make an assignment on beta function. So, I need to know about the continuity of beta function. would anyone be a dear to describe beta function and it's continuity and convergence ?
    No. Although I do almost admire the blatant way you're asking someone else to do the work so you don't have to.
    Online

    13
    ReputationRep:
    (Original post by DFranklin)
    No. Although I do almost admire the blatant way you're asking someone else to do the work so you don't have to.
    PRSOM!
    • Thread Starter
    Offline

    2
    ReputationRep:
    (Original post by BuryMathsTutor)
    PRSOM!
    Sorry. Don't get me wrong. I have found the following things on continuity of beta function. I am not sure if the following proof is complete. I need to know details if there anything else.

    Theorem:
    Let x,y∈R

    be real numbers.

    Let B(x,y)

    be the Beta function:

    B(x,y):=∫→1→0tx−1(1−t) y−1 dt


    Let y∈R>0

    be given.

    Then B(x,y)
    is a positive and continuous function of x on R>0

    .


    Proof

    For each x>0
    , we have for all t with 0<t<1

    that:

    tx−1(1−t)y−1>0

    from which it is immediate that B(x,y)>0
    .
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 11, 2019

University open days

  • University of Derby
    Postgraduate and Professional Open Evening - Derby Campus Postgraduate
    Tue, 22 Jan '19
  • University of the West of England, Bristol
    Undergraduate Open Afternoon - Frenchay Campus Undergraduate
    Wed, 23 Jan '19
  • University of East London
    Postgraduate Open Evening Postgraduate
    Wed, 23 Jan '19
Poll
Brexit: Given the chance now, would you vote leave or remain?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Equations

Best calculators for A level Maths

Tips on which model to get

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.