{"id":84066,"date":"2021-07-15T13:05:58","date_gmt":"2021-07-15T13:05:58","guid":{"rendered":"https:\/\/www.manahelthabet.com\/?page_id=84066"},"modified":"2021-07-15T13:11:30","modified_gmt":"2021-07-15T13:11:30","slug":"structure-variation-hyper-arithmetical-sort-operators-and-applications","status":"publish","type":"page","link":"https:\/\/www.manahelthabet.com\/ar\/publication\/structure-variation-hyper-arithmetical-sort-operators-and-applications\/","title":{"rendered":"Structure Variation Hyper Arithmetical Sort Operators and Applications"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"84066\" class=\"elementor elementor-84066\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6cbf57be elementor-section-boxed elementor-section-height-default 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class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-64ea158f\" data-id=\"64ea158f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-496b903f elementor-widget elementor-widget-heading\" data-id=\"496b903f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Structure Variation Hyper Arithmetical Sort Operators and Applications\n<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-241d7dcd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"241d7dcd\" data-element_type=\"section\" 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class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-4e0d8a5a\" data-id=\"4e0d8a5a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-16ee7367 elementor-icon-list--layout-inline elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"16ee7367\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items elementor-inline-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-calendar-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Date Written: February 26, 2020<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-user\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Author: Dr. Manahel Thabet<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6dbdfa19 elementor-widget elementor-widget-text-editor\" data-id=\"6dbdfa19\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2>Abstract<\/h2><p>Most of the better-known precisely resolvable Schr\u00f6dinger equations are directly associated with these operators and every arithmetical kind equation defines either a finite or Associate in Nursing infinite system of orthogonal polynomials. Its attainable that everyone these operators are often studied along in an exceedingly unified mathematical formalism The corresponding associated special functions are Eigen functions of some form invariant operators, and most of the formula occurring during this study of precisely resolvable quantum systems follow from tiny low range of elementary mathematical results. The systematic study recovers better-known ends up in a natural unified manner, and permits one to increase ways and results better-known specially cases.<\/p><p>SSRN link:\u00a0<a href=\"https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=2193860\">https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=2193860<\/a><\/p><p>Download at:\u00a0<a href=\"https:\/\/www.academia.edu\/36998150\/Manahel_Thabet_Research_Structure_variation_hyper_Arithmetical_sort_Operators_and_applications\">https:\/\/www.academia.edu\/36998150\/Manahel_Thabet_Research_Structure_variation_hyper_Arithmetical_sort_Operators_and_applications<\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Home Structure Variation Hyper Arithmetical Sort Operators and Applications Date Written: February 26, 2020 Author: Dr. Manahel Thabet Abstract Most of the better-known precisely resolvable Schr\u00f6dinger equations are directly associated with these operators and every arithmetical kind equation defines either a finite or Associate in Nursing infinite system of orthogonal polynomials. Its attainable that everyone [&hellip;]<\/p>","protected":false},"author":1,"featured_media":0,"parent":1650,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"class_list":["post-84066","page","type-page","status-publish","hentry","no-thumb"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Structure Variation Hyper Arithmetical Sort Operators and Applications - Prof. Manahel Thabet<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.manahelthabet.com\/ar\/publication\/structure-variation-hyper-arithmetical-sort-operators-and-applications\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Structure Variation Hyper Arithmetical Sort Operators and Applications - Prof. Manahel Thabet\" \/>\n<meta property=\"og:description\" content=\"Home Structure Variation Hyper Arithmetical Sort Operators and Applications Date Written: February 26, 2020 Author: Dr. Manahel Thabet Abstract Most of the better-known precisely resolvable Schr\u00f6dinger equations are directly associated with these operators and every arithmetical kind equation defines either a finite or Associate in Nursing infinite system of orthogonal polynomials. 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