Table 53. 



GAMMA FUNCTION.* 



Value 



ol log I e~'a 



Jo 



^€te + 10. 



Values of the logarithms + lo of the " Second Eulerian Integral " (Gamma function) I e-*x'>~^dx or log r(«H-io 



for values of « between i and 2. AVlien « has vaUies not lying between i and 2 the value of the function can be 

 readily calculated from the equation r(«-f"i) =■ "^\") = «(" — i) ■ • • (« — r)T(n-—r). 



c 



ion) I 



Jq 



1.00 



I. or 

 1.02 

 1.03 

 1.04 



1.05 



1.06 

 1.07 

 i.oS 

 1.09 



1.10 



1. 11 



1. 12 



1-13 

 1. 14 



1.15 



1. 16 



1. 17 

 i.iS 

 1. 19 



1.20 



1. 21 

 1.22 

 1.23 



1.2 



1.25 



1.26 

 1.27 

 1.28 

 1.29 



1.30 



1-31 

 1.32 



1-33 

 1-34 



1.35 



1.36 



1-37 

 1.38 



1-39 



1.40 



1. 4 1 

 1.42 



1-43 

 1.44 



9.99 



75287 

 51279 

 27964 

 05334 



9-9883379 

 620S9 



41469 



21469 



02123 



9-9783407 

 65313 

 47S34 

 30962 

 146S9 



9.9699007 

 83910 

 69390 

 55440 

 4-054 



9.9629225 



16946 



05212 



594015 



83350 



9.9573211 

 63592 



54487 

 45891 



37798 



9-9530203 

 23100 



164S5 

 "0353 

 04698 



9.9499515 

 94800 

 90549 

 86756 

 S3417 



9.94S0528 

 7S084 

 760S1 



745'5 

 73382 



97497 

 72S55 

 48916 

 25671 

 03108 



81220 

 59996 

 39428 

 19506 

 00223 



81570 



63538 

 46120 

 29308 

 13094 



97-171 

 82432 



67969 

 54076 

 40746 



27973 

 15748 



04068 



92925 



82313 



72226 

 62658 

 53604 



45059 

 37016 



29470 



22417 

 15850 

 09766 

 04158 



99023 



94355 

 90149 



86402 



83108 



S0263 

 77864 

 75905 

 74382 

 73292 



95001 



70430 

 46561 



23384 

 00889 



79068 

 579'o 

 37407 

 17549 

 98329 



79738 

 61768 

 4441 1 



27659 

 1 1 505 



95941 

 80960 

 66554 

 5271S 

 39444 



26725 



14556 

 02930 

 91840 

 81280 



71246 

 61730 



52727 

 44232 

 36239 



28743 

 21739 

 15220 

 09184 

 03624 



9S535 

 93913 

 89754 

 86052 

 82S03 



Sooo"^ 

 77648 

 75733 

 74254 

 73207 



92512 

 6801 1 

 44212 

 21 104 

 98677 



77914 

 60005 

 42709 

 26017 

 09922 



94417 

 79493 

 65145 

 51366 



38147 



25484 



13369 

 01796 

 90760 

 80253 



70271 

 60806 



51855 

 43410 



35467 



28021 

 21065 



I459S 

 08606 



03094 



9S052 

 93477 

 89363 

 85707 

 82503 



79748 

 77437 

 75565 

 74130 

 73125 



90030 

 65600 

 41870 

 18831 

 96471 



74783 

 53757 

 33384 

 ^.3655 

 94561 



76095 

 58248 

 41013 

 24381 

 08345 



92S9S 

 78033 

 63742 

 500x9 

 36S56 



24248 

 1 2 188 

 00669 

 896S5 

 79232 



69301 



59888 

 509S8 



42593 

 34700 



27303 

 20396 



13975 

 08034 

 02568 



97573 

 93044 

 88977 



85366 



82208 



79497 

 77230 

 75402 

 74010 

 73049 



87555 

 63 1 96 



39535 

 16564 



94273 



72651 

 51690 

 31382 

 11717 

 92686 



74283 

 56497 



39323 



22751 



06774 



91 



^,86 



76578 

 62344 

 4S677 



35570 



23017 

 1 101 1 

 99546 

 88616 

 78215 



6S337 

 58975 

 50126 

 41782 

 33938 



26590 

 19732 



13359 

 07466 

 02048 



97100 

 92617 



88595 

 85030 



81916 



79250 



77027 



75M3 

 73894 

 72976 



70525 

 49630 



29387 

 09785 

 908 1 8 



72476 



54753 

 37638 

 2 II 26 

 05209 



89879 

 75129 

 60952 



47341 

 34290 



21792 

 09841 

 98430 

 87553 

 77204 



67377 

 58067 

 49268 



40975 

 33181 



25883 



19073 

 12748 



06903 

 01532 



96630 

 92194 

 88218 

 84698 

 81630 



79008 

 76829 



750S9 



73783 

 7 2908 



82627 

 5840S 

 34886 

 12052 

 89895 



68406 

 47577 

 27398 

 07S60 

 S9S56 



70676 



53014 

 35960 

 19508 

 03650 



88378 

 736S6 

 59566 

 4601 1 

 33016 



20573 

 0S675 



973i« 

 86494 

 76198 



66423 



57165 

 48416 



40173 

 32439 



25180 

 18419 

 12142 

 06344 

 01021 



96166 

 91776 

 87846 



84371 

 81348 



78770 

 76636 



74939 

 73676 



72844 



8 



80173 



56025 



32572 

 09806 

 87716 



66294 

 45530 

 25415 

 05941 

 87100 



6S8S2 

 51281 

 34288 

 17896 

 02096 



86SS3 

 72248 

 58185 

 44S67 

 31747 



19358 



07515 

 96212 

 85441 

 75197 



65474 

 56267 

 47570 

 39376 

 316S2 



24482 

 17770 

 1 1 540 



05791 

 00514 



95706 

 91362 



87478 



84049 

 S1070 



78537 

 76446 



74793 

 93574 

 72784 



9 



77727 

 53648 

 30265 



07567 

 85544 



64188 



43489 



23449 

 0402 9 



SJ^o 



67095 

 49555 



'32622 



16289 

 00549 



85393 

 70816 

 56810 

 43368 

 30483 



18150 

 0636 1 



951 1 1 

 84393 

 74201 



64530 

 55374 

 46728 



38585 

 30940 



23789 

 17125 

 10944 

 05242 

 00012 



95251 

 90953 

 871 1 5 

 83731 

 80797 



7830S 

 76261 

 74652 

 73746 

 72728 



• Quoted from Carr"s " Synopsis of Mathematics," and is there quoted from Legendre's " Exercises de Calcul 

 Integral," tome ii. 



Smithsonian Tables. 



38 



