EXPONENTIALGENERATINGFUNCTIONS EXPONENTIAL GENERATING FUNCTION

wolfram research mathematica mathworld wolfram science more raquo home topics latest about faqs participate authoring area exponential generating functions many famous sequences occur as the coefficients of a series for an exponential function which is called the exponential generating function of the sequence contributed by ed pegg jr show initialization code 20 lines omitted x x x exponential generating function wolfram mathworld generating function wolfram mathworld quot exponential generating functions quot from the wolfram demonstrations project 160 http demonstrations wolfram com exponentialgeneratingfunctions contributed by ed pegg jr combinatorics exponential functions sequences browse all topics generating functions polyform explorer tangent lines to exponential and logarithmic functions through the origin complex exponential resonance continuous exponential growth exponential allowance riddle generalized arrhenius function area under the exponential curve elementary transcendental functions and their inverses mapping rectangles by the elementary transcendental functions email link to url embed bookmark x make a new version of this demonstration upload a new demonstration source page email name optional occupation optional organization optional i use mathematica often occasionally never country optional other afghanistan albania algeria american samoa andorra angola anguilla antarctica antigua and barbuda argentina armenia aruba australia austria azerbaijan bahamas bahrain barbados belarus belgium belize benin bermuda bhutan bolivia bosnia and herzegovina botswana bouvet island brazil british ocean territory brunei darussalam bulgaria burkina faso burundi cambodia cameroon canada cape verde cayman islands central african republic chad chile china christmas island cocos keeling islands colombia comoros congo congo the democratic republic of the cook islands costa rica cote d ivoire croatia cuba cyprus czech republic denmark djibouti dominica dominican republic east timor ecuador egypt el salvador equatorial guinea eritrea estonia ethiopia falkland islands malvinas faroe islands fiji finland france french guiana french polynesia french southern territories gabon gambia georgia germany ghana gibraltar greece greenland grenada guadeloupe guam guatemala guinea guinea bissau guyana haiti heard island and mcdonald islands holy see vatican city state honduras hong kong hungary iceland india indonesia iran islamic republic of iraq ireland israel italy jamaica japan jordan kazakhstan kenya kiribati korea democratic people s republic of korea republic of kuwait kyrgyzstan lao people s democratic republic latvia lebanon lesotho liberia libyan arab jamahiriya liechtenstein lithuania luxembourg macau macedonia the former yugoslav republic of madagascar malawi malaysia maldives mali malta marshall islands martinique mauritania mauritius mayotte mexico micronesia federated states of moldova republic of monaco mongolia montserrat morocco mozambique myanmar namibia nauru nepal netherlands netherlands antilles new caledonia new zealand nicaragua niger nigeria niue norfolk island northern mariana islands norway oman pakistan palau palestinian territory occupied panama papua new guinea paraguay people s republic of bangladesh peru philippines pitcairn poland portugal puerto rico qatar reunion romania russian federation rwanda saint helena saint kitts and nevis saint lucia saint pierre and miquelon saint vincent and the grenadines samoa san marino sao tome and principe saudi arabia senegal serbia and montenegro seychelles sierra leone singapore slovakia slovenia solomon islands somalia south africa south georgia and the south sandwich island spain sri lanka sudan suriname svalbard and jan mayen islands swaziland sweden switzerland syrian arab republic taiwan tajikistan tanzania united republic of thailand timor leste togo tokelau tonga trinidad and tobago tunisia turkey turkmenistan turks and caicos islands tuvalu uganda ukraine united arab emirates united kingdom united states united states minor outlying islands uruguay uzbekistan vanuatu venezuela viet nam virgin islands british virgin islands u s wallis and futuna western sahara yemen zambia zimbabwe remember me note please do not include anything you consider confidential or proprietary your message and contact information may be shared with the author of any specific demonstration for which you give feedback but will not otherwise be published or distributed privacy policy raquo copy 2010 wolfram demonstrations project amp contributors wolfram research site index terms of use privacy policy rss atom note to run this demonstration you need the free mathematica player or mathematica 7 download or upgrade to mathematica player 7 i already have mathematica player or mathematica 7