- Integral Form: It's a function defined by an integral, showing how to integrate t raised to one power and (1-t) raised to another power between 0 and 1.
- Relation with Gamma Function: The beta function is related to the gamma function by a formula that involves dividing the product of two gamma functions by another gamma function.
Gamma Function:
- Integral Form:It's a function defined by an integral that involves raising a number to a certain power and then multiplying by e raised to the power of minus that number.
- Recurrence Relation: It shows how the gamma function of x+1 is related to the gamma function of xby multiplication with x, as long as xis greater than 0.
- Reflection Formula: This formula connects the gamma function values at x and 1-x using trigonometric functions like sine and π.
These functions have lots of interesting properties and connections, leading to many other ways to represent them mathematically.
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Answers & Comments
Answer:
Hére ís thé áñswér..
Høpé ít hélps yøú
Which class are you
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[tex] \pink{\rule{190pt}{5pt}}[/tex][tex]\huge\color{cyan}\boxed{\colorbox{black}{♛Answer♛}}[/tex]
Beta Function:
- Integral Form: It's a function defined by an integral, showing how to integrate t raised to one power and (1-t) raised to another power between 0 and 1.
- Relation with Gamma Function: The beta function is related to the gamma function by a formula that involves dividing the product of two gamma functions by another gamma function.
Gamma Function:
- Integral Form: It's a function defined by an integral that involves raising a number to a certain power and then multiplying by e raised to the power of minus that number.
- Recurrence Relation: It shows how the gamma function of x+1 is related to the gamma function of x by multiplication with x, as long as x is greater than 0.
- Reflection Formula: This formula connects the gamma function values at x and 1-x using trigonometric functions like sine and π.
These functions have lots of interesting properties and connections, leading to many other ways to represent them mathematically.
HOPE THIS HELPS YOU
PLS MARK ME AS BRAINLIEST ✌️✨✨
ALSO THANK ME AND FOLLOW ME FOR MORE QUERY
[tex] \bf \red{PLS \: SOME \:}[/tex][tex] \bf \blue{\: SOME \: THANKS}[/tex]