{"id":119,"date":"2023-07-24T20:17:12","date_gmt":"2023-07-24T20:17:12","guid":{"rendered":"https:\/\/www.abdullahaydemir.com.tr\/?p=119"},"modified":"2023-07-24T20:17:13","modified_gmt":"2023-07-24T20:17:13","slug":"expresssion-of-factorial-and-gamma-function-by-eulers-product","status":"publish","type":"post","link":"https:\/\/www.abdullahaydemir.com.tr\/?p=119","title":{"rendered":"Expresssion of factorial and gamma function by Euler\u2019s product"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"776\" height=\"447\" src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-1.jpg\" alt=\"\" class=\"wp-image-120\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-1.jpg 776w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-1-300x173.jpg 300w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-1-768x442.jpg 768w\" sizes=\"(max-width: 776px) 100vw, 776px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"789\" height=\"632\" src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-2.jpg\" alt=\"\" class=\"wp-image-121\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-2.jpg 789w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-2-300x240.jpg 300w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-2-768x615.jpg 768w\" sizes=\"(max-width: 789px) 100vw, 789px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"786\" height=\"632\" src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-3.jpg\" alt=\"\" class=\"wp-image-122\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-3.jpg 786w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-3-300x241.jpg 300w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-3-768x618.jpg 768w\" sizes=\"(max-width: 786px) 100vw, 786px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"783\" height=\"402\" src=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-4.jpg\" alt=\"\" class=\"wp-image-123\" srcset=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-4.jpg 783w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-4-300x154.jpg 300w, https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11-4-768x394.jpg 768w\" sizes=\"(max-width: 783px) 100vw, 783px\" \/><\/figure>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Gamma11 g\u00f6m\u00fcs\u00fc.\"><\/object><a id=\"wp-block-file--media-c1066dd1-519d-4a62-8c80-463e300ba232\" href=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11.pdf\">Gamma11<\/a><a href=\"https:\/\/www.abdullahaydemir.com.tr\/wp-content\/uploads\/2023\/07\/Gamma11.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c1066dd1-519d-4a62-8c80-463e300ba232\">\u0130ndir<\/a><\/div>\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>In our study, we first expressed and proved a lemma that we will use in the proof of theorem.<br \/>\nThen we state and prove the theorem for factorial. Finally, we arrived at the definition of the<br \/>\ngamma function by the Euler\u2019s product.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,7,3,6,5],"tags":[17,12,9],"class_list":["post-119","post","type-post","status-publish","format-standard","hentry","category-euler-product","category-gamma-fonksiyonu","category-gamma-function","category-ozel-fonsiyonlar","category-special-functions","tag-euler-product","tag-gamma-function","tag-special-functions"],"_links":{"self":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/119","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=119"}],"version-history":[{"count":1,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/119\/revisions"}],"predecessor-version":[{"id":125,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/119\/revisions\/125"}],"wp:attachment":[{"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.abdullahaydemir.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}