Certification required by Rule 30a-2(a)




EXHIBIT ITEM 10 (a)(2) 

RULE 30a-2(a) CERTIFICATIONS 







I, Brian T. Zino, certify that: 





	
1. 
	
I have reviewed this report on Form N-CSR of Seligman High Income Fund Series; 

	
 
	
 

	
2. 
	
Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report; 

	
 
	
 

	
3. 
	
Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects the financial condition, results of operations, changes in net assets, and cash flows (if the financial statements are required to include a statement of cash flows) of the registrant as of, and for, the periods presented in this report; 

	
 
	
 

	
4. 
	
The registrant's other certifying officers and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940) for the registrant and have: 

	
 
	
 

	
a) 
	
Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared; 

	
 
	
 

	
b) 
	
Evaluated the effectiveness of the registrant's disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of a date within 90 days prior to the filing date of this report based on such evaluation; and 

	
 
	
 

	
c) 
	
Disclosed in this report any change in the registrant’s internal control over financial reporting that occurred during the registrant’s most recent fiscal half-year (the registrant’s second fiscal half-year in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, the registrant’s internal control over financial reporting; and 

	
 
	
 

	
5. 
	
The registrant's other certifying officers and I have disclosed, to the registrant's auditors and the audit committee of the registrant's board of directors (or persons performing the equivalent functions): 

	
 
	
 

	
a) 
	
All significant deficiencies and material weaknesses in the design or operation of internal controls over financial reporting which are reasonably likely to adversely affect the registrant’s ability to record, process, summarize, and report financial information; and 

	
 
	
 

	
b) 
	
Any fraud, whether or not material, that involves management or other employees who have a significant role in the registrant's internal control over financial reporting. 







 


	
Date: March 5, 2004 
	
/S/ BRIAN T. ZINO 

	
 
	
Brian T. Zino 

	
 
	
Principal Executive Officer 




 



	 
	 	 	 
	



	 



 






EXHIBIT ITEM 10 (a)(2) 

RULE 30a-2(a) CERTIFICATIONS 







I, Lawrence P. Vogel, certify that: 





	
1. 
	
I have reviewed this report on Form N-CSR of Seligman High Income Fund Series; 

	
 
	
 
	
 
	
 

	
2. 
	
Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report; 

	
 
	
 
	
 
	
 

	
3. 
	
Based on my knowledge, the financial statements, and other financial information included in this report, fairly present in all material respects the financial condition, results of operations, changes in net assets, and cash flows (if the financial statements are required to include a statement of cash flows) of the registrant as of, and for, the periods presented in this report; 

	
 
	
 
	
 
	
 

	
4. 
	
The registrant's other certifying officers and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940) for the registrant and have: 

	
 
	
 
	
 
	
 

	
 
	
 
	
(a) 
	
Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared; 

	
 
	
 
	
 
	
 

	
 
	
 
	
(b) 
	
Evaluated the effectiveness of the registrant's disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of a date within 90 days prior to the filing date of this report based on such evaluation; and 

	
 
	
 
	
 
	
 

	
 
	
 
	
(c) 
	
Disclosed in this report any change in the registrant’s internal control over financial reporting that occurred during the registrant’s most recent fiscal half-year (the registrant’s second fiscal half-year in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, the registrant’s internal control over financial reporting; and 

	
 
	
 
	
 
	
 

	
5. 
	
The registrant's other certifying officers and I have disclosed, to the registrant's auditors and the audit committee of the registrant's board of directors (or persons performing the equivalent functions): 

	
 
	
 
	
 
	
 

	
 
	
 
	
(a) 
	
All significant deficiencies and material weaknesses in the design or operation of internal controls over financial reporting which are reasonably likely to adversely affect the registrant’s ability to record, process, summarize, and report financial information; and 

	
 
	
 
	
 
	
 

	
 
	
 
	
(b) 
	
Any fraud, whether or not material, that involves management or other employees who have a significant role in the registrant's internal control over financial reporting. 

	
 
	
 
	
 
	
 




 


	
Date: March 5, 2004 
	
/S/ LAWRENCE P. VOGEL 

	
 
	
Lawrence P. Vogel 

	
 
	
Principal Financial Officer