Research Article

New Extension of Beta Function and Its Applications

Table 1

Numerical values of new extension of classical beta function .

ā€‰ā€‰

0.000.00 NaN NaN NaN NaN
0.010.01198.27177610 198.29548624199.06411204 199.96757732
0.020.02 98.27460320 98.29781890 99.05065967 99.93608768
0.030.03 64.9441856564.96691911 65.70435720 66.57217010
0.040.0448.28052079 48.3027838249.0251901749.87579792
0.050.05 38.2836059938.3054100739.01314459 39.84694542
0.060.0631.62010537 31.64146162 32.3348736633.15225447
0.070.0726.86144500 26.8823642227.56179291 28.36312969
0.080.08 23.29333673 23.31382939 23.97960405 24.76526226
0.090.09 20.51895277 20.53902903 21.19146950 21.96180446
0.100.10 18.30019555 18.3198652918.95928227 19.71463949
1.01.0 0.72102562 0.72477846 0.84887277 1.00000000
2.02.0 0.11166177 0.11238923 0.13665458 0.16666667
3.03.0 0.02163870 0.02179192 0.02692731 0.03333333
4.04.00.00455690 0.00459058 0.00572283 0.00714286
5.05.0 0.00100158 0.00100918 0.00126512 0.00158730
6.06.00.000225920.00022766 0.00028649 0.00036075
7.07.0 0.00005185 0.00005225 0.00006594 0.00008325
8.08.0 0.00001205 0.00001214 0.00001536 0.00001943
9.09.00.00000283 0.00000285 0.00000361 0.00000457
10.010.0 0.00000067 0.00000067 0.00000085 0.00000108