what is Beta in math?
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ɪɴ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs, ᴛʜᴇ ʙᴇᴛᴀ ғᴜɴᴄᴛɪᴏɴ, ᴀʟsᴏ ᴄᴀʟʟᴇᴅ ᴛʜᴇ ᴇᴜʟᴇʀ ɪɴᴛᴇɢʀᴀʟ ᴏғ ᴛʜᴇ ғɪʀsᴛ ᴋɪɴᴅ, ɪs ᴀ sᴘᴇᴄɪᴀʟ ғᴜɴᴄᴛɪᴏɴ ᴛʜᴀᴛ ɪs ᴄʟᴏsᴇʟʏ ʀᴇʟᴀᴛᴇᴅ ᴛᴏ ᴛʜᴇ ɢᴀᴍᴍᴀ ғᴜɴᴄᴛɪᴏɴ ᴀɴᴅ ᴛᴏ ʙɪɴᴏᴍɪᴀʟ ᴄᴏᴇғғɪᴄɪᴇɴᴛs. ɪᴛ ɪs ᴅᴇғɪɴᴇᴅ ʙʏ ᴛʜᴇ ɪɴᴛᴇɢʀᴀʟ. ғᴏʀ ᴄᴏᴍᴘʟᴇx ɴᴜᴍʙᴇʀ ɪɴᴘᴜᴛs x, ʏ sᴜᴄʜ ᴛʜᴀᴛ ʀᴇ x > 0, ʀᴇ ʏ > 0.
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In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral. for complex number inputs x, y such that Re x > 0, Re y > 0.
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